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Finding the Third Proportional to 55,057 and 83,101.50

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Solution

The third proportional to 55,057 and 83,101.50 is: 125,431.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,057 : 83,101.50 = 83,101.50 : x
  2. Step 2: Convert to fraction form
    55,057/83,101.50 = 83,101.50/x
  3. Step 3: Cross multiply
    55,057x = 83,101.50 × 83,101.50
  4. Step 4: Simplify right side
    55,057x = 6,905,859,302.25
  5. Step 5: Solve for x
    x = 6,905,859,302.25/55,057
  6. Step 6: Final answer
    x = 125,431.09

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.