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Finding the Third Proportional to 101,739 and 157,721

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Solution

The third proportional to 101,739 and 157,721 is: 244,507.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,739 : 157,721 = 157,721 : x
  2. Step 2: Convert to fraction form
    101,739/157,721 = 157,721/x
  3. Step 3: Cross multiply
    101,739x = 157,721 × 157,721
  4. Step 4: Simplify right side
    101,739x = 24,875,913,841
  5. Step 5: Solve for x
    x = 24,875,913,841/101,739
  6. Step 6: Final answer
    x = 244,507.16

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.