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Finding the Third Proportional to 122,931 and 185,527

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Solution

The third proportional to 122,931 and 185,527 is: 279,996.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,931 : 185,527 = 185,527 : x
  2. Step 2: Convert to fraction form
    122,931/185,527 = 185,527/x
  3. Step 3: Cross multiply
    122,931x = 185,527 × 185,527
  4. Step 4: Simplify right side
    122,931x = 34,420,267,729
  5. Step 5: Solve for x
    x = 34,420,267,729/122,931
  6. Step 6: Final answer
    x = 279,996.65

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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.