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Finding the Third Proportional to 58,616 and 121,382

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Solution

The third proportional to 58,616 and 121,382 is: 251,357.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,616 : 121,382 = 121,382 : x
  2. Step 2: Convert to fraction form
    58,616/121,382 = 121,382/x
  3. Step 3: Cross multiply
    58,616x = 121,382 × 121,382
  4. Step 4: Simplify right side
    58,616x = 14,733,589,924
  5. Step 5: Solve for x
    x = 14,733,589,924/58,616
  6. Step 6: Final answer
    x = 251,357.82

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.