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Finding the Third Proportional to 95,745.38 and 151,538.06

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Solution

The third proportional to 95,745.38 and 151,538.06 is: 239,842.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,745.38 : 151,538.06 = 151,538.06 : x
  2. Step 2: Convert to fraction form
    95,745.38/151,538.06 = 151,538.06/x
  3. Step 3: Cross multiply
    95,745.38x = 151,538.06 × 151,538.06
  4. Step 4: Simplify right side
    95,745.38x = 22,963,784,386.25
  5. Step 5: Solve for x
    x = 22,963,784,386.25/95,745.38
  6. Step 6: Final answer
    x = 239,842.23

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.