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Finding the Third Proportional to 61,527 and 96,393

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Solution

The third proportional to 61,527 and 96,393 is: 151,016.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,527 : 96,393 = 96,393 : x
  2. Step 2: Convert to fraction form
    61,527/96,393 = 96,393/x
  3. Step 3: Cross multiply
    61,527x = 96,393 × 96,393
  4. Step 4: Simplify right side
    61,527x = 9,291,610,449
  5. Step 5: Solve for x
    x = 9,291,610,449/61,527
  6. Step 6: Final answer
    x = 151,016.80

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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.