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Finding the Third Proportional to 78,688 and 118,691

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Solution

The third proportional to 78,688 and 118,691 is: 179,030.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,688 : 118,691 = 118,691 : x
  2. Step 2: Convert to fraction form
    78,688/118,691 = 118,691/x
  3. Step 3: Cross multiply
    78,688x = 118,691 × 118,691
  4. Step 4: Simplify right side
    78,688x = 14,087,553,481
  5. Step 5: Solve for x
    x = 14,087,553,481/78,688
  6. Step 6: Final answer
    x = 179,030.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.