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Finding the Third Proportional to 97,670 and 146,765

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Solution

The third proportional to 97,670 and 146,765 is: 220,538.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,670 : 146,765 = 146,765 : x
  2. Step 2: Convert to fraction form
    97,670/146,765 = 146,765/x
  3. Step 3: Cross multiply
    97,670x = 146,765 × 146,765
  4. Step 4: Simplify right side
    97,670x = 21,539,965,225
  5. Step 5: Solve for x
    x = 21,539,965,225/97,670
  6. Step 6: Final answer
    x = 220,538.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.