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Finding the Third Proportional to 101,038.78 and 147,115.78

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Solution

The third proportional to 101,038.78 and 147,115.78 is: 214,205.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,038.78 : 147,115.78 = 147,115.78 : x
  2. Step 2: Convert to fraction form
    101,038.78/147,115.78 = 147,115.78/x
  3. Step 3: Cross multiply
    101,038.78x = 147,115.78 × 147,115.78
  4. Step 4: Simplify right side
    101,038.78x = 21,643,053,092.80
  5. Step 5: Solve for x
    x = 21,643,053,092.80/101,038.78
  6. Step 6: Final answer
    x = 214,205.41

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.