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Finding the Third Proportional to 55,366 and 85,894

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Solution

The third proportional to 55,366 and 85,894 is: 133,254.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,366 : 85,894 = 85,894 : x
  2. Step 2: Convert to fraction form
    55,366/85,894 = 85,894/x
  3. Step 3: Cross multiply
    55,366x = 85,894 × 85,894
  4. Step 4: Simplify right side
    55,366x = 7,377,779,236
  5. Step 5: Solve for x
    x = 7,377,779,236/55,366
  6. Step 6: Final answer
    x = 133,254.69

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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.