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Finding the Third Proportional to 55,534 and 121,424

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Solution

The third proportional to 55,534 and 121,424 is: 265,491.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,534 : 121,424 = 121,424 : x
  2. Step 2: Convert to fraction form
    55,534/121,424 = 121,424/x
  3. Step 3: Cross multiply
    55,534x = 121,424 × 121,424
  4. Step 4: Simplify right side
    55,534x = 14,743,787,776
  5. Step 5: Solve for x
    x = 14,743,787,776/55,534
  6. Step 6: Final answer
    x = 265,491.19

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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.