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Finding the Third Proportional to 55,598 and 121,579

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Solution

The third proportional to 55,598 and 121,579 is: 265,863.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,598 : 121,579 = 121,579 : x
  2. Step 2: Convert to fraction form
    55,598/121,579 = 121,579/x
  3. Step 3: Cross multiply
    55,598x = 121,579 × 121,579
  4. Step 4: Simplify right side
    55,598x = 14,781,453,241
  5. Step 5: Solve for x
    x = 14,781,453,241/55,598
  6. Step 6: Final answer
    x = 265,863.04

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.