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Finding the Third Proportional to 45,252 and 59,506.50

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Solution

The third proportional to 45,252 and 59,506.50 is: 78,251.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,252 : 59,506.50 = 59,506.50 : x
  2. Step 2: Convert to fraction form
    45,252/59,506.50 = 59,506.50/x
  3. Step 3: Cross multiply
    45,252x = 59,506.50 × 59,506.50
  4. Step 4: Simplify right side
    45,252x = 3,541,023,542.25
  5. Step 5: Solve for x
    x = 3,541,023,542.25/45,252
  6. Step 6: Final answer
    x = 78,251.21

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.