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Finding the Third Proportional to 70,530.75 and 103,540.78

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Solution

The third proportional to 70,530.75 and 103,540.78 is: 152,000.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,530.75 : 103,540.78 = 103,540.78 : x
  2. Step 2: Convert to fraction form
    70,530.75/103,540.78 = 103,540.78/x
  3. Step 3: Cross multiply
    70,530.75x = 103,540.78 × 103,540.78
  4. Step 4: Simplify right side
    70,530.75x = 10,720,693,381.86
  5. Step 5: Solve for x
    x = 10,720,693,381.86/70,530.75
  6. Step 6: Final answer
    x = 152,000.27

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.