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Finding the Third Proportional to 71,452.13 and 105,040.13

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Solution

The third proportional to 71,452.13 and 105,040.13 is: 154,417.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,452.13 : 105,040.13 = 105,040.13 : x
  2. Step 2: Convert to fraction form
    71,452.13/105,040.13 = 105,040.13/x
  3. Step 3: Cross multiply
    71,452.13x = 105,040.13 × 105,040.13
  4. Step 4: Simplify right side
    71,452.13x = 11,033,427,860.02
  5. Step 5: Solve for x
    x = 11,033,427,860.02/71,452.13
  6. Step 6: Final answer
    x = 154,417.07

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Why These Related Problems?

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