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Finding the Third Proportional to 55,854 and 87,426

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Solution

The third proportional to 55,854 and 87,426 is: 136,844.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,854 : 87,426 = 87,426 : x
  2. Step 2: Convert to fraction form
    55,854/87,426 = 87,426/x
  3. Step 3: Cross multiply
    55,854x = 87,426 × 87,426
  4. Step 4: Simplify right side
    55,854x = 7,643,305,476
  5. Step 5: Solve for x
    x = 7,643,305,476/55,854
  6. Step 6: Final answer
    x = 136,844.37

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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.