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Finding the Third Proportional to 57,462.75 and 133,531.88

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Solution

The third proportional to 57,462.75 and 133,531.88 is: 310,301.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,462.75 : 133,531.88 = 133,531.88 : x
  2. Step 2: Convert to fraction form
    57,462.75/133,531.88 = 133,531.88/x
  3. Step 3: Cross multiply
    57,462.75x = 133,531.88 × 133,531.88
  4. Step 4: Simplify right side
    57,462.75x = 17,830,761,641.02
  5. Step 5: Solve for x
    x = 17,830,761,641.02/57,462.75
  6. Step 6: Final answer
    x = 310,301.22

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.