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Finding the Third Proportional to 58,771.75 and 88,156

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Solution

The third proportional to 58,771.75 and 88,156 is: 132,231.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,771.75 : 88,156 = 88,156 : x
  2. Step 2: Convert to fraction form
    58,771.75/88,156 = 88,156/x
  3. Step 3: Cross multiply
    58,771.75x = 88,156 × 88,156
  4. Step 4: Simplify right side
    58,771.75x = 7,771,480,336
  5. Step 5: Solve for x
    x = 7,771,480,336/58,771.75
  6. Step 6: Final answer
    x = 132,231.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.