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Finding the Third Proportional to 55,434 and 87,023

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Solution

The third proportional to 55,434 and 87,023 is: 136,612.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,434 : 87,023 = 87,023 : x
  2. Step 2: Convert to fraction form
    55,434/87,023 = 87,023/x
  3. Step 3: Cross multiply
    55,434x = 87,023 × 87,023
  4. Step 4: Simplify right side
    55,434x = 7,573,002,529
  5. Step 5: Solve for x
    x = 7,573,002,529/55,434
  6. Step 6: Final answer
    x = 136,612.95

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.