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Finding the Third Proportional to 122,924 and 185,507

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Solution

The third proportional to 122,924 and 185,507 is: 279,952.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,924 : 185,507 = 185,507 : x
  2. Step 2: Convert to fraction form
    122,924/185,507 = 185,507/x
  3. Step 3: Cross multiply
    122,924x = 185,507 × 185,507
  4. Step 4: Simplify right side
    122,924x = 34,412,847,049
  5. Step 5: Solve for x
    x = 34,412,847,049/122,924
  6. Step 6: Final answer
    x = 279,952.22

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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.