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Finding the Third Proportional to 65,241 and 125,298

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Solution

The third proportional to 65,241 and 125,298 is: 240,639.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,241 : 125,298 = 125,298 : x
  2. Step 2: Convert to fraction form
    65,241/125,298 = 125,298/x
  3. Step 3: Cross multiply
    65,241x = 125,298 × 125,298
  4. Step 4: Simplify right side
    65,241x = 15,699,588,804
  5. Step 5: Solve for x
    x = 15,699,588,804/65,241
  6. Step 6: Final answer
    x = 240,639.92

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.