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Finding the Third Proportional to 60,380 and 132,653

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Solution

The third proportional to 60,380 and 132,653 is: 291,434.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,380 : 132,653 = 132,653 : x
  2. Step 2: Convert to fraction form
    60,380/132,653 = 132,653/x
  3. Step 3: Cross multiply
    60,380x = 132,653 × 132,653
  4. Step 4: Simplify right side
    60,380x = 17,596,818,409
  5. Step 5: Solve for x
    x = 17,596,818,409/60,380
  6. Step 6: Final answer
    x = 291,434.55

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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.