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Finding the Third Proportional to 126,480 and 169,248

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Solution

The third proportional to 126,480 and 169,248 is: 226,477.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,480 : 169,248 = 169,248 : x
  2. Step 2: Convert to fraction form
    126,480/169,248 = 169,248/x
  3. Step 3: Cross multiply
    126,480x = 169,248 × 169,248
  4. Step 4: Simplify right side
    126,480x = 28,644,885,504
  5. Step 5: Solve for x
    x = 28,644,885,504/126,480
  6. Step 6: Final answer
    x = 226,477.59

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.