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Finding the Third Proportional to 96,726.66 and 156,699.56

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Solution

The third proportional to 96,726.66 and 156,699.56 is: 253,857.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,726.66 : 156,699.56 = 156,699.56 : x
  2. Step 2: Convert to fraction form
    96,726.66/156,699.56 = 156,699.56/x
  3. Step 3: Cross multiply
    96,726.66x = 156,699.56 × 156,699.56
  4. Step 4: Simplify right side
    96,726.66x = 24,554,752,887.69
  5. Step 5: Solve for x
    x = 24,554,752,887.69/96,726.66
  6. Step 6: Final answer
    x = 253,857.15

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.