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Finding the Third Proportional to 122,348 and 181,248

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Solution

The third proportional to 122,348 and 181,248 is: 268,503.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,348 : 181,248 = 181,248 : x
  2. Step 2: Convert to fraction form
    122,348/181,248 = 181,248/x
  3. Step 3: Cross multiply
    122,348x = 181,248 × 181,248
  4. Step 4: Simplify right side
    122,348x = 32,850,837,504
  5. Step 5: Solve for x
    x = 32,850,837,504/122,348
  6. Step 6: Final answer
    x = 268,503.27

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.