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Finding the Third Proportional to 48,070 and 101,681

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Solution

The third proportional to 48,070 and 101,681 is: 215,082.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,070 : 101,681 = 101,681 : x
  2. Step 2: Convert to fraction form
    48,070/101,681 = 101,681/x
  3. Step 3: Cross multiply
    48,070x = 101,681 × 101,681
  4. Step 4: Simplify right side
    48,070x = 10,339,025,761
  5. Step 5: Solve for x
    x = 10,339,025,761/48,070
  6. Step 6: Final answer
    x = 215,082.71

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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.