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Finding the Third Proportional to 45,444.50 and 75,475.50

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Solution

The third proportional to 45,444.50 and 75,475.50 is: 125,351.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,444.50 : 75,475.50 = 75,475.50 : x
  2. Step 2: Convert to fraction form
    45,444.50/75,475.50 = 75,475.50/x
  3. Step 3: Cross multiply
    45,444.50x = 75,475.50 × 75,475.50
  4. Step 4: Simplify right side
    45,444.50x = 5,696,551,100.25
  5. Step 5: Solve for x
    x = 5,696,551,100.25/45,444.50
  6. Step 6: Final answer
    x = 125,351.83

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These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.