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Finding the Third Proportional to 101,634.88 and 148,807.31

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Solution

The third proportional to 101,634.88 and 148,807.31 is: 217,874.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,634.88 : 148,807.31 = 148,807.31 : x
  2. Step 2: Convert to fraction form
    101,634.88/148,807.31 = 148,807.31/x
  3. Step 3: Cross multiply
    101,634.88x = 148,807.31 × 148,807.31
  4. Step 4: Simplify right side
    101,634.88x = 22,143,616,253.47
  5. Step 5: Solve for x
    x = 22,143,616,253.47/101,634.88
  6. Step 6: Final answer
    x = 217,874.19

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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.