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Finding the Third Proportional to 64,138.88 and 148,464.75

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Solution

The third proportional to 64,138.88 and 148,464.75 is: 343,657.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,138.88 : 148,464.75 = 148,464.75 : x
  2. Step 2: Convert to fraction form
    64,138.88/148,464.75 = 148,464.75/x
  3. Step 3: Cross multiply
    64,138.88x = 148,464.75 × 148,464.75
  4. Step 4: Simplify right side
    64,138.88x = 22,041,781,992.56
  5. Step 5: Solve for x
    x = 22,041,781,992.56/64,138.88
  6. Step 6: Final answer
    x = 343,657.13

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.