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Finding the Third Proportional to 47,521.69 and 102,637.13

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Solution

The third proportional to 47,521.69 and 102,637.13 is: 221,675.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,521.69 : 102,637.13 = 102,637.13 : x
  2. Step 2: Convert to fraction form
    47,521.69/102,637.13 = 102,637.13/x
  3. Step 3: Cross multiply
    47,521.69x = 102,637.13 × 102,637.13
  4. Step 4: Simplify right side
    47,521.69x = 10,534,379,428.27
  5. Step 5: Solve for x
    x = 10,534,379,428.27/47,521.69
  6. Step 6: Final answer
    x = 221,675.20

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.