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Finding the Third Proportional to 103,354 and 155,031

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Solution

The third proportional to 103,354 and 155,031 is: 232,546.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,354 : 155,031 = 155,031 : x
  2. Step 2: Convert to fraction form
    103,354/155,031 = 155,031/x
  3. Step 3: Cross multiply
    103,354x = 155,031 × 155,031
  4. Step 4: Simplify right side
    103,354x = 24,034,610,961
  5. Step 5: Solve for x
    x = 24,034,610,961/103,354
  6. Step 6: Final answer
    x = 232,546.50

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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.