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Finding the Third Proportional to 88,020 and 207,566

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Solution

The third proportional to 88,020 and 207,566 is: 489,475.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,020 : 207,566 = 207,566 : x
  2. Step 2: Convert to fraction form
    88,020/207,566 = 207,566/x
  3. Step 3: Cross multiply
    88,020x = 207,566 × 207,566
  4. Step 4: Simplify right side
    88,020x = 43,083,644,356
  5. Step 5: Solve for x
    x = 43,083,644,356/88,020
  6. Step 6: Final answer
    x = 489,475.62

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.