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Finding the Third Proportional to 72,432.98 and 156,924.84

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Solution

The third proportional to 72,432.98 and 156,924.84 is: 339,975.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,432.98 : 156,924.84 = 156,924.84 : x
  2. Step 2: Convert to fraction form
    72,432.98/156,924.84 = 156,924.84/x
  3. Step 3: Cross multiply
    72,432.98x = 156,924.84 × 156,924.84
  4. Step 4: Simplify right side
    72,432.98x = 24,625,406,585.96
  5. Step 5: Solve for x
    x = 24,625,406,585.96/72,432.98
  6. Step 6: Final answer
    x = 339,975.04

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.