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Finding the Third Proportional to 70,325.72 and 105,496.17

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Solution

The third proportional to 70,325.72 and 105,496.17 is: 158,255.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,325.72 : 105,496.17 = 105,496.17 : x
  2. Step 2: Convert to fraction form
    70,325.72/105,496.17 = 105,496.17/x
  3. Step 3: Cross multiply
    70,325.72x = 105,496.17 × 105,496.17
  4. Step 4: Simplify right side
    70,325.72x = 11,129,442,280.28
  5. Step 5: Solve for x
    x = 11,129,442,280.28/70,325.72
  6. Step 6: Final answer
    x = 158,255.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.