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Finding the Third Proportional to 113,670 and 176,488.88

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Solution

The third proportional to 113,670 and 176,488.88 is: 274,024.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,670 : 176,488.88 = 176,488.88 : x
  2. Step 2: Convert to fraction form
    113,670/176,488.88 = 176,488.88/x
  3. Step 3: Cross multiply
    113,670x = 176,488.88 × 176,488.88
  4. Step 4: Simplify right side
    113,670x = 31,148,322,998.77
  5. Step 5: Solve for x
    x = 31,148,322,998.77/113,670
  6. Step 6: Final answer
    x = 274,024.13

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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.