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Finding the Third Proportional to 49,356 and 78,610.50

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Solution

The third proportional to 49,356 and 78,610.50 is: 125,204.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,356 : 78,610.50 = 78,610.50 : x
  2. Step 2: Convert to fraction form
    49,356/78,610.50 = 78,610.50/x
  3. Step 3: Cross multiply
    49,356x = 78,610.50 × 78,610.50
  4. Step 4: Simplify right side
    49,356x = 6,179,610,710.25
  5. Step 5: Solve for x
    x = 6,179,610,710.25/49,356
  6. Step 6: Final answer
    x = 125,204.85

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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.