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Finding the Third Proportional to 60,344 and 130,732

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Solution

The third proportional to 60,344 and 130,732 is: 283,223.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,344 : 130,732 = 130,732 : x
  2. Step 2: Convert to fraction form
    60,344/130,732 = 130,732/x
  3. Step 3: Cross multiply
    60,344x = 130,732 × 130,732
  4. Step 4: Simplify right side
    60,344x = 17,090,855,824
  5. Step 5: Solve for x
    x = 17,090,855,824/60,344
  6. Step 6: Final answer
    x = 283,223.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.