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Finding the Third Proportional to 60,370 and 132,692

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Solution

The third proportional to 60,370 and 132,692 is: 291,654.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,370 : 132,692 = 132,692 : x
  2. Step 2: Convert to fraction form
    60,370/132,692 = 132,692/x
  3. Step 3: Cross multiply
    60,370x = 132,692 × 132,692
  4. Step 4: Simplify right side
    60,370x = 17,607,166,864
  5. Step 5: Solve for x
    x = 17,607,166,864/60,370
  6. Step 6: Final answer
    x = 291,654.25

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.