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Finding the Third Proportional to 60,128 and 132,288

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Solution

The third proportional to 60,128 and 132,288 is: 291,047.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,128 : 132,288 = 132,288 : x
  2. Step 2: Convert to fraction form
    60,128/132,288 = 132,288/x
  3. Step 3: Cross multiply
    60,128x = 132,288 × 132,288
  4. Step 4: Simplify right side
    60,128x = 17,500,114,944
  5. Step 5: Solve for x
    x = 17,500,114,944/60,128
  6. Step 6: Final answer
    x = 291,047.68

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