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Finding the Third Proportional to 61,350 and 86,373

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Solution

The third proportional to 61,350 and 86,373 is: 121,602.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,350 : 86,373 = 86,373 : x
  2. Step 2: Convert to fraction form
    61,350/86,373 = 86,373/x
  3. Step 3: Cross multiply
    61,350x = 86,373 × 86,373
  4. Step 4: Simplify right side
    61,350x = 7,460,295,129
  5. Step 5: Solve for x
    x = 7,460,295,129/61,350
  6. Step 6: Final answer
    x = 121,602.20

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.