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Finding the Third Proportional to 113,712.75 and 176,565.38

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Solution

The third proportional to 113,712.75 and 176,565.38 is: 274,158.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,712.75 : 176,565.38 = 176,565.38 : x
  2. Step 2: Convert to fraction form
    113,712.75/176,565.38 = 176,565.38/x
  3. Step 3: Cross multiply
    113,712.75x = 176,565.38 × 176,565.38
  4. Step 4: Simplify right side
    113,712.75x = 31,175,331,648.89
  5. Step 5: Solve for x
    x = 31,175,331,648.89/113,712.75
  6. Step 6: Final answer
    x = 274,158.63

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.