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Finding the Third Proportional to 61,624 and 95,153

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Solution

The third proportional to 61,624 and 95,153 is: 146,924.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,624 : 95,153 = 95,153 : x
  2. Step 2: Convert to fraction form
    61,624/95,153 = 95,153/x
  3. Step 3: Cross multiply
    61,624x = 95,153 × 95,153
  4. Step 4: Simplify right side
    61,624x = 9,054,093,409
  5. Step 5: Solve for x
    x = 9,054,093,409/61,624
  6. Step 6: Final answer
    x = 146,924.79

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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.