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Finding the Third Proportional to 122,946.75 and 185,281.88

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Solution

The third proportional to 122,946.75 and 185,281.88 is: 279,221.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,946.75 : 185,281.88 = 185,281.88 : x
  2. Step 2: Convert to fraction form
    122,946.75/185,281.88 = 185,281.88/x
  3. Step 3: Cross multiply
    122,946.75x = 185,281.88 × 185,281.88
  4. Step 4: Simplify right side
    122,946.75x = 34,329,373,203.52
  5. Step 5: Solve for x
    x = 34,329,373,203.52/122,946.75
  6. Step 6: Final answer
    x = 279,221.48

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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.