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Finding the Third Proportional to 59,701.50 and 130,475.25

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Solution

The third proportional to 59,701.50 and 130,475.25 is: 285,148.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,701.50 : 130,475.25 = 130,475.25 : x
  2. Step 2: Convert to fraction form
    59,701.50/130,475.25 = 130,475.25/x
  3. Step 3: Cross multiply
    59,701.50x = 130,475.25 × 130,475.25
  4. Step 4: Simplify right side
    59,701.50x = 17,023,790,862.56
  5. Step 5: Solve for x
    x = 17,023,790,862.56/59,701.50
  6. Step 6: Final answer
    x = 285,148.46

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.