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Finding the Third Proportional to 43,688 and 93,602

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Solution

The third proportional to 43,688 and 93,602 is: 200,543.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,688 : 93,602 = 93,602 : x
  2. Step 2: Convert to fraction form
    43,688/93,602 = 93,602/x
  3. Step 3: Cross multiply
    43,688x = 93,602 × 93,602
  4. Step 4: Simplify right side
    43,688x = 8,761,334,404
  5. Step 5: Solve for x
    x = 8,761,334,404/43,688
  6. Step 6: Final answer
    x = 200,543.27

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.