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Finding the Third Proportional to 121,176 and 248,382

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Solution

The third proportional to 121,176 and 248,382 is: 509,124.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,176 : 248,382 = 248,382 : x
  2. Step 2: Convert to fraction form
    121,176/248,382 = 248,382/x
  3. Step 3: Cross multiply
    121,176x = 248,382 × 248,382
  4. Step 4: Simplify right side
    121,176x = 61,693,617,924
  5. Step 5: Solve for x
    x = 61,693,617,924/121,176
  6. Step 6: Final answer
    x = 509,124.07

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.