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Finding the Third Proportional to 63,722.25 and 148,826.25

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Solution

The third proportional to 63,722.25 and 148,826.25 is: 347,590.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,722.25 : 148,826.25 = 148,826.25 : x
  2. Step 2: Convert to fraction form
    63,722.25/148,826.25 = 148,826.25/x
  3. Step 3: Cross multiply
    63,722.25x = 148,826.25 × 148,826.25
  4. Step 4: Simplify right side
    63,722.25x = 22,149,252,689.06
  5. Step 5: Solve for x
    x = 22,149,252,689.06/63,722.25
  6. Step 6: Final answer
    x = 347,590.56

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.