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Finding the Third Proportional to 102,917 and 154,623

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Solution

The third proportional to 102,917 and 154,623 is: 232,306.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,917 : 154,623 = 154,623 : x
  2. Step 2: Convert to fraction form
    102,917/154,623 = 154,623/x
  3. Step 3: Cross multiply
    102,917x = 154,623 × 154,623
  4. Step 4: Simplify right side
    102,917x = 23,908,272,129
  5. Step 5: Solve for x
    x = 23,908,272,129/102,917
  6. Step 6: Final answer
    x = 232,306.35

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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.