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Finding the Third Proportional to 69,057.56 and 101,315.81

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Solution

The third proportional to 69,057.56 and 101,315.81 is: 148,642.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,057.56 : 101,315.81 = 101,315.81 : x
  2. Step 2: Convert to fraction form
    69,057.56/101,315.81 = 101,315.81/x
  3. Step 3: Cross multiply
    69,057.56x = 101,315.81 × 101,315.81
  4. Step 4: Simplify right side
    69,057.56x = 10,264,893,862.54
  5. Step 5: Solve for x
    x = 10,264,893,862.54/69,057.56
  6. Step 6: Final answer
    x = 148,642.57

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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.