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Finding the Third Proportional to 74,688 and 113,592

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Solution

The third proportional to 74,688 and 113,592 is: 172,760.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,688 : 113,592 = 113,592 : x
  2. Step 2: Convert to fraction form
    74,688/113,592 = 113,592/x
  3. Step 3: Cross multiply
    74,688x = 113,592 × 113,592
  4. Step 4: Simplify right side
    74,688x = 12,903,142,464
  5. Step 5: Solve for x
    x = 12,903,142,464/74,688
  6. Step 6: Final answer
    x = 172,760.58

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.