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Finding the Third Proportional to 56,350.75 and 87,209

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Solution

The third proportional to 56,350.75 and 87,209 is: 134,965.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,350.75 : 87,209 = 87,209 : x
  2. Step 2: Convert to fraction form
    56,350.75/87,209 = 87,209/x
  3. Step 3: Cross multiply
    56,350.75x = 87,209 × 87,209
  4. Step 4: Simplify right side
    56,350.75x = 7,605,409,681
  5. Step 5: Solve for x
    x = 7,605,409,681/56,350.75
  6. Step 6: Final answer
    x = 134,965.54

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.