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Finding the Third Proportional to 113,712.75 and 176,567.06

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Solution

The third proportional to 113,712.75 and 176,567.06 is: 274,163.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,712.75 : 176,567.06 = 176,567.06 : x
  2. Step 2: Convert to fraction form
    113,712.75/176,567.06 = 176,567.06/x
  3. Step 3: Cross multiply
    113,712.75x = 176,567.06 × 176,567.06
  4. Step 4: Simplify right side
    113,712.75x = 31,175,927,559.88
  5. Step 5: Solve for x
    x = 31,175,927,559.88/113,712.75
  6. Step 6: Final answer
    x = 274,163.87

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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.