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Finding the Third Proportional to 106,596 and 156,438

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Solution

The third proportional to 106,596 and 156,438 is: 229,585.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,596 : 156,438 = 156,438 : x
  2. Step 2: Convert to fraction form
    106,596/156,438 = 156,438/x
  3. Step 3: Cross multiply
    106,596x = 156,438 × 156,438
  4. Step 4: Simplify right side
    106,596x = 24,472,847,844
  5. Step 5: Solve for x
    x = 24,472,847,844/106,596
  6. Step 6: Final answer
    x = 229,585.05

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.