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Finding the Third Proportional to 89,987 and 139,697

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Solution

The third proportional to 89,987 and 139,697 is: 216,867.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,987 : 139,697 = 139,697 : x
  2. Step 2: Convert to fraction form
    89,987/139,697 = 139,697/x
  3. Step 3: Cross multiply
    89,987x = 139,697 × 139,697
  4. Step 4: Simplify right side
    89,987x = 19,515,251,809
  5. Step 5: Solve for x
    x = 19,515,251,809/89,987
  6. Step 6: Final answer
    x = 216,867.46

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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.