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Finding the Third Proportional to 71,957.50 and 152,684

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Solution

The third proportional to 71,957.50 and 152,684 is: 323,974.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,957.50 : 152,684 = 152,684 : x
  2. Step 2: Convert to fraction form
    71,957.50/152,684 = 152,684/x
  3. Step 3: Cross multiply
    71,957.50x = 152,684 × 152,684
  4. Step 4: Simplify right side
    71,957.50x = 23,312,403,856
  5. Step 5: Solve for x
    x = 23,312,403,856/71,957.50
  6. Step 6: Final answer
    x = 323,974.62

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.