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Finding the Third Proportional to 69,053.50 and 101,393

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Solution

The third proportional to 69,053.50 and 101,393 is: 148,877.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,053.50 : 101,393 = 101,393 : x
  2. Step 2: Convert to fraction form
    69,053.50/101,393 = 101,393/x
  3. Step 3: Cross multiply
    69,053.50x = 101,393 × 101,393
  4. Step 4: Simplify right side
    69,053.50x = 10,280,540,449
  5. Step 5: Solve for x
    x = 10,280,540,449/69,053.50
  6. Step 6: Final answer
    x = 148,877.91

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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.