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Finding the Third Proportional to 72,696 and 156,528

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Solution

The third proportional to 72,696 and 156,528 is: 337,033.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,696 : 156,528 = 156,528 : x
  2. Step 2: Convert to fraction form
    72,696/156,528 = 156,528/x
  3. Step 3: Cross multiply
    72,696x = 156,528 × 156,528
  4. Step 4: Simplify right side
    72,696x = 24,501,014,784
  5. Step 5: Solve for x
    x = 24,501,014,784/72,696
  6. Step 6: Final answer
    x = 337,033.88

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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.