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Finding the Third Proportional to 55,900 and 83,089.50

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Solution

The third proportional to 55,900 and 83,089.50 is: 123,503.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,900 : 83,089.50 = 83,089.50 : x
  2. Step 2: Convert to fraction form
    55,900/83,089.50 = 83,089.50/x
  3. Step 3: Cross multiply
    55,900x = 83,089.50 × 83,089.50
  4. Step 4: Simplify right side
    55,900x = 6,903,865,010.25
  5. Step 5: Solve for x
    x = 6,903,865,010.25/55,900
  6. Step 6: Final answer
    x = 123,503.85

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.