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Finding the Third Proportional to 48,472 and 102,533

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Solution

The third proportional to 48,472 and 102,533 is: 216,888.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,472 : 102,533 = 102,533 : x
  2. Step 2: Convert to fraction form
    48,472/102,533 = 102,533/x
  3. Step 3: Cross multiply
    48,472x = 102,533 × 102,533
  4. Step 4: Simplify right side
    48,472x = 10,513,016,089
  5. Step 5: Solve for x
    x = 10,513,016,089/48,472
  6. Step 6: Final answer
    x = 216,888.43

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.