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Finding the Third Proportional to 49,390.50 and 78,459.75

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Solution

The third proportional to 49,390.50 and 78,459.75 is: 124,637.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,390.50 : 78,459.75 = 78,459.75 : x
  2. Step 2: Convert to fraction form
    49,390.50/78,459.75 = 78,459.75/x
  3. Step 3: Cross multiply
    49,390.50x = 78,459.75 × 78,459.75
  4. Step 4: Simplify right side
    49,390.50x = 6,155,932,370.06
  5. Step 5: Solve for x
    x = 6,155,932,370.06/49,390.50
  6. Step 6: Final answer
    x = 124,637.98

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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.