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Finding the Third Proportional to 65,374 and 141,116

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Solution

The third proportional to 65,374 and 141,116 is: 304,612.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,374 : 141,116 = 141,116 : x
  2. Step 2: Convert to fraction form
    65,374/141,116 = 141,116/x
  3. Step 3: Cross multiply
    65,374x = 141,116 × 141,116
  4. Step 4: Simplify right side
    65,374x = 19,913,725,456
  5. Step 5: Solve for x
    x = 19,913,725,456/65,374
  6. Step 6: Final answer
    x = 304,612.31

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.