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Finding the Third Proportional to 52,684 and 93,688

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Solution

The third proportional to 52,684 and 93,688 is: 166,605.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,684 : 93,688 = 93,688 : x
  2. Step 2: Convert to fraction form
    52,684/93,688 = 93,688/x
  3. Step 3: Cross multiply
    52,684x = 93,688 × 93,688
  4. Step 4: Simplify right side
    52,684x = 8,777,441,344
  5. Step 5: Solve for x
    x = 8,777,441,344/52,684
  6. Step 6: Final answer
    x = 166,605.45

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.