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Finding the Third Proportional to 77,559 and 124,437.75

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Solution

The third proportional to 77,559 and 124,437.75 is: 199,651.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,559 : 124,437.75 = 124,437.75 : x
  2. Step 2: Convert to fraction form
    77,559/124,437.75 = 124,437.75/x
  3. Step 3: Cross multiply
    77,559x = 124,437.75 × 124,437.75
  4. Step 4: Simplify right side
    77,559x = 15,484,753,625.06
  5. Step 5: Solve for x
    x = 15,484,753,625.06/77,559
  6. Step 6: Final answer
    x = 199,651.28

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.