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Finding the Third Proportional to 103,695 and 151,654

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Solution

The third proportional to 103,695 and 151,654 is: 221,794.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,695 : 151,654 = 151,654 : x
  2. Step 2: Convert to fraction form
    103,695/151,654 = 151,654/x
  3. Step 3: Cross multiply
    103,695x = 151,654 × 151,654
  4. Step 4: Simplify right side
    103,695x = 22,998,935,716
  5. Step 5: Solve for x
    x = 22,998,935,716/103,695
  6. Step 6: Final answer
    x = 221,794.07

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.