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Finding the Third Proportional to 64,023.75 and 92,229.19

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Solution

The third proportional to 64,023.75 and 92,229.19 is: 132,860.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,023.75 : 92,229.19 = 92,229.19 : x
  2. Step 2: Convert to fraction form
    64,023.75/92,229.19 = 92,229.19/x
  3. Step 3: Cross multiply
    64,023.75x = 92,229.19 × 92,229.19
  4. Step 4: Simplify right side
    64,023.75x = 8,506,223,026.91
  5. Step 5: Solve for x
    x = 8,506,223,026.91/64,023.75
  6. Step 6: Final answer
    x = 132,860.43

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.