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Finding the Third Proportional to 103,314 and 158,031

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Solution

The third proportional to 103,314 and 158,031 is: 241,727.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,314 : 158,031 = 158,031 : x
  2. Step 2: Convert to fraction form
    103,314/158,031 = 158,031/x
  3. Step 3: Cross multiply
    103,314x = 158,031 × 158,031
  4. Step 4: Simplify right side
    103,314x = 24,973,796,961
  5. Step 5: Solve for x
    x = 24,973,796,961/103,314
  6. Step 6: Final answer
    x = 241,727.13

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.