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Finding the Third Proportional to 92,108.39 and 146,468.25

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Solution

The third proportional to 92,108.39 and 146,468.25 is: 232,909.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,108.39 : 146,468.25 = 146,468.25 : x
  2. Step 2: Convert to fraction form
    92,108.39/146,468.25 = 146,468.25/x
  3. Step 3: Cross multiply
    92,108.39x = 146,468.25 × 146,468.25
  4. Step 4: Simplify right side
    92,108.39x = 21,452,948,258.06
  5. Step 5: Solve for x
    x = 21,452,948,258.06/92,108.39
  6. Step 6: Final answer
    x = 232,909.82

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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.