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Finding the Third Proportional to 91,678.88 and 145,879.13

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Solution

The third proportional to 91,678.88 and 145,879.13 is: 232,122.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,678.88 : 145,879.13 = 145,879.13 : x
  2. Step 2: Convert to fraction form
    91,678.88/145,879.13 = 145,879.13/x
  3. Step 3: Cross multiply
    91,678.88x = 145,879.13 × 145,879.13
  4. Step 4: Simplify right side
    91,678.88x = 21,280,719,110.77
  5. Step 5: Solve for x
    x = 21,280,719,110.77/91,678.88
  6. Step 6: Final answer
    x = 232,122.38

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.