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Finding the Third Proportional to 126,248 and 272,176

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Solution

The third proportional to 126,248 and 272,176 is: 586,779.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,248 : 272,176 = 272,176 : x
  2. Step 2: Convert to fraction form
    126,248/272,176 = 272,176/x
  3. Step 3: Cross multiply
    126,248x = 272,176 × 272,176
  4. Step 4: Simplify right side
    126,248x = 74,079,774,976
  5. Step 5: Solve for x
    x = 74,079,774,976/126,248
  6. Step 6: Final answer
    x = 586,779.79

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.