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Finding the Third Proportional to 77,564.50 and 124,445.50

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Solution

The third proportional to 77,564.50 and 124,445.50 is: 199,661.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,564.50 : 124,445.50 = 124,445.50 : x
  2. Step 2: Convert to fraction form
    77,564.50/124,445.50 = 124,445.50/x
  3. Step 3: Cross multiply
    77,564.50x = 124,445.50 × 124,445.50
  4. Step 4: Simplify right side
    77,564.50x = 15,486,682,470.25
  5. Step 5: Solve for x
    x = 15,486,682,470.25/77,564.50
  6. Step 6: Final answer
    x = 199,661.99

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