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Finding the Third Proportional to 122,988 and 185,342

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Solution

The third proportional to 122,988 and 185,342 is: 279,309.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,988 : 185,342 = 185,342 : x
  2. Step 2: Convert to fraction form
    122,988/185,342 = 185,342/x
  3. Step 3: Cross multiply
    122,988x = 185,342 × 185,342
  4. Step 4: Simplify right side
    122,988x = 34,351,656,964
  5. Step 5: Solve for x
    x = 34,351,656,964/122,988
  6. Step 6: Final answer
    x = 279,309.01

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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.