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Finding the Third Proportional to 60,314 and 128,644

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Solution

The third proportional to 60,314 and 128,644 is: 274,385.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,314 : 128,644 = 128,644 : x
  2. Step 2: Convert to fraction form
    60,314/128,644 = 128,644/x
  3. Step 3: Cross multiply
    60,314x = 128,644 × 128,644
  4. Step 4: Simplify right side
    60,314x = 16,549,278,736
  5. Step 5: Solve for x
    x = 16,549,278,736/60,314
  6. Step 6: Final answer
    x = 274,385.36

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.