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Finding the Third Proportional to 88,713 and 181,566

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Solution

The third proportional to 88,713 and 181,566 is: 371,605.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,713 : 181,566 = 181,566 : x
  2. Step 2: Convert to fraction form
    88,713/181,566 = 181,566/x
  3. Step 3: Cross multiply
    88,713x = 181,566 × 181,566
  4. Step 4: Simplify right side
    88,713x = 32,966,212,356
  5. Step 5: Solve for x
    x = 32,966,212,356/88,713
  6. Step 6: Final answer
    x = 371,605.20

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.