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Finding the Third Proportional to 122,260 and 185,888

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Solution

The third proportional to 122,260 and 185,888 is: 282,630.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,260 : 185,888 = 185,888 : x
  2. Step 2: Convert to fraction form
    122,260/185,888 = 185,888/x
  3. Step 3: Cross multiply
    122,260x = 185,888 × 185,888
  4. Step 4: Simplify right side
    122,260x = 34,554,348,544
  5. Step 5: Solve for x
    x = 34,554,348,544/122,260
  6. Step 6: Final answer
    x = 282,630.04

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.