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Finding the Third Proportional to 55,911 and 83,920.50

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Solution

The third proportional to 55,911 and 83,920.50 is: 125,961.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,911 : 83,920.50 = 83,920.50 : x
  2. Step 2: Convert to fraction form
    55,911/83,920.50 = 83,920.50/x
  3. Step 3: Cross multiply
    55,911x = 83,920.50 × 83,920.50
  4. Step 4: Simplify right side
    55,911x = 7,042,650,320.25
  5. Step 5: Solve for x
    x = 7,042,650,320.25/55,911
  6. Step 6: Final answer
    x = 125,961.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.