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Finding the Third Proportional to 61,334.72 and 132,340.08

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Solution

The third proportional to 61,334.72 and 132,340.08 is: 285,546.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,334.72 : 132,340.08 = 132,340.08 : x
  2. Step 2: Convert to fraction form
    61,334.72/132,340.08 = 132,340.08/x
  3. Step 3: Cross multiply
    61,334.72x = 132,340.08 × 132,340.08
  4. Step 4: Simplify right side
    61,334.72x = 17,513,896,278.13
  5. Step 5: Solve for x
    x = 17,513,896,278.13/61,334.72
  6. Step 6: Final answer
    x = 285,546.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.