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Finding the Third Proportional to 72,977.63 and 156,868.13

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Solution

The third proportional to 72,977.63 and 156,868.13 is: 337,193.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,977.63 : 156,868.13 = 156,868.13 : x
  2. Step 2: Convert to fraction form
    72,977.63/156,868.13 = 156,868.13/x
  3. Step 3: Cross multiply
    72,977.63x = 156,868.13 × 156,868.13
  4. Step 4: Simplify right side
    72,977.63x = 24,607,608,641.02
  5. Step 5: Solve for x
    x = 24,607,608,641.02/72,977.63
  6. Step 6: Final answer
    x = 337,193.88

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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.