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Finding the Third Proportional to 47,681 and 103,663

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Solution

The third proportional to 47,681 and 103,663 is: 225,373.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,681 : 103,663 = 103,663 : x
  2. Step 2: Convert to fraction form
    47,681/103,663 = 103,663/x
  3. Step 3: Cross multiply
    47,681x = 103,663 × 103,663
  4. Step 4: Simplify right side
    47,681x = 10,746,017,569
  5. Step 5: Solve for x
    x = 10,746,017,569/47,681
  6. Step 6: Final answer
    x = 225,373.16

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.