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Finding the Third Proportional to 92,416 and 146,904

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Solution

The third proportional to 92,416 and 146,904 is: 233,517.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,416 : 146,904 = 146,904 : x
  2. Step 2: Convert to fraction form
    92,416/146,904 = 146,904/x
  3. Step 3: Cross multiply
    92,416x = 146,904 × 146,904
  4. Step 4: Simplify right side
    92,416x = 21,580,785,216
  5. Step 5: Solve for x
    x = 21,580,785,216/92,416
  6. Step 6: Final answer
    x = 233,517.85

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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.