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Finding the Third Proportional to 59,620 and 95,262

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Solution

The third proportional to 59,620 and 95,262 is: 152,211.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,620 : 95,262 = 95,262 : x
  2. Step 2: Convert to fraction form
    59,620/95,262 = 95,262/x
  3. Step 3: Cross multiply
    59,620x = 95,262 × 95,262
  4. Step 4: Simplify right side
    59,620x = 9,074,848,644
  5. Step 5: Solve for x
    x = 9,074,848,644/59,620
  6. Step 6: Final answer
    x = 152,211.48

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.