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Finding the Third Proportional to 68,656 and 148,526

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Solution

The third proportional to 68,656 and 148,526 is: 321,311.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,656 : 148,526 = 148,526 : x
  2. Step 2: Convert to fraction form
    68,656/148,526 = 148,526/x
  3. Step 3: Cross multiply
    68,656x = 148,526 × 148,526
  4. Step 4: Simplify right side
    68,656x = 22,059,972,676
  5. Step 5: Solve for x
    x = 22,059,972,676/68,656
  6. Step 6: Final answer
    x = 321,311.65

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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.