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Finding the Third Proportional to 65,001.75 and 139,705.13

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Solution

The third proportional to 65,001.75 and 139,705.13 is: 300,261.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,001.75 : 139,705.13 = 139,705.13 : x
  2. Step 2: Convert to fraction form
    65,001.75/139,705.13 = 139,705.13/x
  3. Step 3: Cross multiply
    65,001.75x = 139,705.13 × 139,705.13
  4. Step 4: Simplify right side
    65,001.75x = 19,517,521,951.27
  5. Step 5: Solve for x
    x = 19,517,521,951.27/65,001.75
  6. Step 6: Final answer
    x = 300,261.48

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.