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Finding the Third Proportional to 42,051 and 66,868.50

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Solution

The third proportional to 42,051 and 66,868.50 is: 106,332.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,051 : 66,868.50 = 66,868.50 : x
  2. Step 2: Convert to fraction form
    42,051/66,868.50 = 66,868.50/x
  3. Step 3: Cross multiply
    42,051x = 66,868.50 × 66,868.50
  4. Step 4: Simplify right side
    42,051x = 4,471,396,292.25
  5. Step 5: Solve for x
    x = 4,471,396,292.25/42,051
  6. Step 6: Final answer
    x = 106,332.70

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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.