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Finding the Third Proportional to 68,607 and 148,446

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Solution

The third proportional to 68,607 and 148,446 is: 321,194.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,607 : 148,446 = 148,446 : x
  2. Step 2: Convert to fraction form
    68,607/148,446 = 148,446/x
  3. Step 3: Cross multiply
    68,607x = 148,446 × 148,446
  4. Step 4: Simplify right side
    68,607x = 22,036,214,916
  5. Step 5: Solve for x
    x = 22,036,214,916/68,607
  6. Step 6: Final answer
    x = 321,194.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.