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Finding the Third Proportional to 87,772.50 and 207,072

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Solution

The third proportional to 87,772.50 and 207,072 is: 488,522.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,772.50 : 207,072 = 207,072 : x
  2. Step 2: Convert to fraction form
    87,772.50/207,072 = 207,072/x
  3. Step 3: Cross multiply
    87,772.50x = 207,072 × 207,072
  4. Step 4: Simplify right side
    87,772.50x = 42,878,813,184
  5. Step 5: Solve for x
    x = 42,878,813,184/87,772.50
  6. Step 6: Final answer
    x = 488,522.18

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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.