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Finding the Third Proportional to 90,624 and 139,976

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Solution

The third proportional to 90,624 and 139,976 is: 216,204.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,624 : 139,976 = 139,976 : x
  2. Step 2: Convert to fraction form
    90,624/139,976 = 139,976/x
  3. Step 3: Cross multiply
    90,624x = 139,976 × 139,976
  4. Step 4: Simplify right side
    90,624x = 19,593,280,576
  5. Step 5: Solve for x
    x = 19,593,280,576/90,624
  6. Step 6: Final answer
    x = 216,204.10

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.