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Finding the Third Proportional to 72,748 and 156,620

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Solution

The third proportional to 72,748 and 156,620 is: 337,188.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,748 : 156,620 = 156,620 : x
  2. Step 2: Convert to fraction form
    72,748/156,620 = 156,620/x
  3. Step 3: Cross multiply
    72,748x = 156,620 × 156,620
  4. Step 4: Simplify right side
    72,748x = 24,529,824,400
  5. Step 5: Solve for x
    x = 24,529,824,400/72,748
  6. Step 6: Final answer
    x = 337,188.99

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.