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Finding the Third Proportional to 124,623 and 168,983

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Solution

The third proportional to 124,623 and 168,983 is: 229,133.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,623 : 168,983 = 168,983 : x
  2. Step 2: Convert to fraction form
    124,623/168,983 = 168,983/x
  3. Step 3: Cross multiply
    124,623x = 168,983 × 168,983
  4. Step 4: Simplify right side
    124,623x = 28,555,254,289
  5. Step 5: Solve for x
    x = 28,555,254,289/124,623
  6. Step 6: Final answer
    x = 229,133.10

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.