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Finding the Third Proportional to 89,816 and 139,452

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Solution

The third proportional to 89,816 and 139,452 is: 216,518.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,816 : 139,452 = 139,452 : x
  2. Step 2: Convert to fraction form
    89,816/139,452 = 139,452/x
  3. Step 3: Cross multiply
    89,816x = 139,452 × 139,452
  4. Step 4: Simplify right side
    89,816x = 19,446,860,304
  5. Step 5: Solve for x
    x = 19,446,860,304/89,816
  6. Step 6: Final answer
    x = 216,518.89

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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.