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Finding the Third Proportional to 84,345.75 and 127,074.38

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Solution

The third proportional to 84,345.75 and 127,074.38 is: 191,448.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,345.75 : 127,074.38 = 127,074.38 : x
  2. Step 2: Convert to fraction form
    84,345.75/127,074.38 = 127,074.38/x
  3. Step 3: Cross multiply
    84,345.75x = 127,074.38 × 127,074.38
  4. Step 4: Simplify right side
    84,345.75x = 16,147,896,781.64
  5. Step 5: Solve for x
    x = 16,147,896,781.64/84,345.75
  6. Step 6: Final answer
    x = 191,448.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.