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Finding the Third Proportional to 49,221 and 78,151.50

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Solution

The third proportional to 49,221 and 78,151.50 is: 124,086.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,221 : 78,151.50 = 78,151.50 : x
  2. Step 2: Convert to fraction form
    49,221/78,151.50 = 78,151.50/x
  3. Step 3: Cross multiply
    49,221x = 78,151.50 × 78,151.50
  4. Step 4: Simplify right side
    49,221x = 6,107,656,952.25
  5. Step 5: Solve for x
    x = 6,107,656,952.25/49,221
  6. Step 6: Final answer
    x = 124,086.41

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.