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Finding the Third Proportional to 61,340.63 and 132,073.88

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Solution

The third proportional to 61,340.63 and 132,073.88 is: 284,371.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,340.63 : 132,073.88 = 132,073.88 : x
  2. Step 2: Convert to fraction form
    61,340.63/132,073.88 = 132,073.88/x
  3. Step 3: Cross multiply
    61,340.63x = 132,073.88 × 132,073.88
  4. Step 4: Simplify right side
    61,340.63x = 17,443,508,457.52
  5. Step 5: Solve for x
    x = 17,443,508,457.52/61,340.63
  6. Step 6: Final answer
    x = 284,371.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.