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Finding the Third Proportional to 56,484 and 87,405.75

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Solution

The third proportional to 56,484 and 87,405.75 is: 135,255.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,484 : 87,405.75 = 87,405.75 : x
  2. Step 2: Convert to fraction form
    56,484/87,405.75 = 87,405.75/x
  3. Step 3: Cross multiply
    56,484x = 87,405.75 × 87,405.75
  4. Step 4: Simplify right side
    56,484x = 7,639,765,133.06
  5. Step 5: Solve for x
    x = 7,639,765,133.06/56,484
  6. Step 6: Final answer
    x = 135,255.38

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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.