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Finding the Third Proportional to 112,431.16 and 148,553.68

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Solution

The third proportional to 112,431.16 and 148,553.68 is: 196,281.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,431.16 : 148,553.68 = 148,553.68 : x
  2. Step 2: Convert to fraction form
    112,431.16/148,553.68 = 148,553.68/x
  3. Step 3: Cross multiply
    112,431.16x = 148,553.68 × 148,553.68
  4. Step 4: Simplify right side
    112,431.16x = 22,068,196,909.27
  5. Step 5: Solve for x
    x = 22,068,196,909.27/112,431.16
  6. Step 6: Final answer
    x = 196,281.85

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.