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Finding the Third Proportional to 65,260.13 and 138,241.13

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Solution

The third proportional to 65,260.13 and 138,241.13 is: 292,837.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,260.13 : 138,241.13 = 138,241.13 : x
  2. Step 2: Convert to fraction form
    65,260.13/138,241.13 = 138,241.13/x
  3. Step 3: Cross multiply
    65,260.13x = 138,241.13 × 138,241.13
  4. Step 4: Simplify right side
    65,260.13x = 19,110,608,641.27
  5. Step 5: Solve for x
    x = 19,110,608,641.27/65,260.13
  6. Step 6: Final answer
    x = 292,837.45

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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.