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Finding the Third Proportional to 90,034 and 139,759

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Solution

The third proportional to 90,034 and 139,759 is: 216,946.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,034 : 139,759 = 139,759 : x
  2. Step 2: Convert to fraction form
    90,034/139,759 = 139,759/x
  3. Step 3: Cross multiply
    90,034x = 139,759 × 139,759
  4. Step 4: Simplify right side
    90,034x = 19,532,578,081
  5. Step 5: Solve for x
    x = 19,532,578,081/90,034
  6. Step 6: Final answer
    x = 216,946.69

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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.