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Finding the Third Proportional to 102,656 and 153,567

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Solution

The third proportional to 102,656 and 153,567 is: 229,726.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,656 : 153,567 = 153,567 : x
  2. Step 2: Convert to fraction form
    102,656/153,567 = 153,567/x
  3. Step 3: Cross multiply
    102,656x = 153,567 × 153,567
  4. Step 4: Simplify right side
    102,656x = 23,582,823,489
  5. Step 5: Solve for x
    x = 23,582,823,489/102,656
  6. Step 6: Final answer
    x = 229,726.69

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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.