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Finding the Third Proportional to 47,181 and 64,113.75

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Solution

The third proportional to 47,181 and 64,113.75 is: 87,123.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,181 : 64,113.75 = 64,113.75 : x
  2. Step 2: Convert to fraction form
    47,181/64,113.75 = 64,113.75/x
  3. Step 3: Cross multiply
    47,181x = 64,113.75 × 64,113.75
  4. Step 4: Simplify right side
    47,181x = 4,110,572,939.06
  5. Step 5: Solve for x
    x = 4,110,572,939.06/47,181
  6. Step 6: Final answer
    x = 87,123.48

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.