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Finding the Third Proportional to 60,106.50 and 85,434.75

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Solution

The third proportional to 60,106.50 and 85,434.75 is: 121,436.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,106.50 : 85,434.75 = 85,434.75 : x
  2. Step 2: Convert to fraction form
    60,106.50/85,434.75 = 85,434.75/x
  3. Step 3: Cross multiply
    60,106.50x = 85,434.75 × 85,434.75
  4. Step 4: Simplify right side
    60,106.50x = 7,299,096,507.56
  5. Step 5: Solve for x
    x = 7,299,096,507.56/60,106.50
  6. Step 6: Final answer
    x = 121,436.06

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.