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Finding the Third Proportional to 92,217.38 and 138,975.75

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Solution

The third proportional to 92,217.38 and 138,975.75 is: 209,442.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,217.38 : 138,975.75 = 138,975.75 : x
  2. Step 2: Convert to fraction form
    92,217.38/138,975.75 = 138,975.75/x
  3. Step 3: Cross multiply
    92,217.38x = 138,975.75 × 138,975.75
  4. Step 4: Simplify right side
    92,217.38x = 19,314,259,088.06
  5. Step 5: Solve for x
    x = 19,314,259,088.06/92,217.38
  6. Step 6: Final answer
    x = 209,442.73

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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.