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Finding the Third Proportional to 60,112 and 128,564

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Solution

The third proportional to 60,112 and 128,564 is: 274,965.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,112 : 128,564 = 128,564 : x
  2. Step 2: Convert to fraction form
    60,112/128,564 = 128,564/x
  3. Step 3: Cross multiply
    60,112x = 128,564 × 128,564
  4. Step 4: Simplify right side
    60,112x = 16,528,702,096
  5. Step 5: Solve for x
    x = 16,528,702,096/60,112
  6. Step 6: Final answer
    x = 274,965.10

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.