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Finding the Third Proportional to 86,575.50 and 135,330.75

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Solution

The third proportional to 86,575.50 and 135,330.75 is: 211,542.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,575.50 : 135,330.75 = 135,330.75 : x
  2. Step 2: Convert to fraction form
    86,575.50/135,330.75 = 135,330.75/x
  3. Step 3: Cross multiply
    86,575.50x = 135,330.75 × 135,330.75
  4. Step 4: Simplify right side
    86,575.50x = 18,314,411,895.56
  5. Step 5: Solve for x
    x = 18,314,411,895.56/86,575.50
  6. Step 6: Final answer
    x = 211,542.66

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.