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Finding the Third Proportional to 101,924 and 138,410

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Solution

The third proportional to 101,924 and 138,410 is: 187,956.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,924 : 138,410 = 138,410 : x
  2. Step 2: Convert to fraction form
    101,924/138,410 = 138,410/x
  3. Step 3: Cross multiply
    101,924x = 138,410 × 138,410
  4. Step 4: Simplify right side
    101,924x = 19,157,328,100
  5. Step 5: Solve for x
    x = 19,157,328,100/101,924
  6. Step 6: Final answer
    x = 187,956.99

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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.