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Finding the Third Proportional to 103,412 and 155,733

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Solution

The third proportional to 103,412 and 155,733 is: 234,525.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,412 : 155,733 = 155,733 : x
  2. Step 2: Convert to fraction form
    103,412/155,733 = 155,733/x
  3. Step 3: Cross multiply
    103,412x = 155,733 × 155,733
  4. Step 4: Simplify right side
    103,412x = 24,252,767,289
  5. Step 5: Solve for x
    x = 24,252,767,289/103,412
  6. Step 6: Final answer
    x = 234,525.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.