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Finding the Third Proportional to 72,342.50 and 156,759

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Solution

The third proportional to 72,342.50 and 156,759 is: 339,681.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,342.50 : 156,759 = 156,759 : x
  2. Step 2: Convert to fraction form
    72,342.50/156,759 = 156,759/x
  3. Step 3: Cross multiply
    72,342.50x = 156,759 × 156,759
  4. Step 4: Simplify right side
    72,342.50x = 24,573,384,081
  5. Step 5: Solve for x
    x = 24,573,384,081/72,342.50
  6. Step 6: Final answer
    x = 339,681.16

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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.