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Finding the Third Proportional to 59,648.50 and 129,793.50

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Solution

The third proportional to 59,648.50 and 129,793.50 is: 282,427.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,648.50 : 129,793.50 = 129,793.50 : x
  2. Step 2: Convert to fraction form
    59,648.50/129,793.50 = 129,793.50/x
  3. Step 3: Cross multiply
    59,648.50x = 129,793.50 × 129,793.50
  4. Step 4: Simplify right side
    59,648.50x = 16,846,352,642.25
  5. Step 5: Solve for x
    x = 16,846,352,642.25/59,648.50
  6. Step 6: Final answer
    x = 282,427.10

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.