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Finding the Third Proportional to 61,242.33 and 96,238.13

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Solution

The third proportional to 61,242.33 and 96,238.13 is: 151,231.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,242.33 : 96,238.13 = 96,238.13 : x
  2. Step 2: Convert to fraction form
    61,242.33/96,238.13 = 96,238.13/x
  3. Step 3: Cross multiply
    61,242.33x = 96,238.13 × 96,238.13
  4. Step 4: Simplify right side
    61,242.33x = 9,261,776,703.52
  5. Step 5: Solve for x
    x = 9,261,776,703.52/61,242.33
  6. Step 6: Final answer
    x = 151,231.62

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.