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Finding the Third Proportional to 55,462 and 121,419

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Solution

The third proportional to 55,462 and 121,419 is: 265,813.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,462 : 121,419 = 121,419 : x
  2. Step 2: Convert to fraction form
    55,462/121,419 = 121,419/x
  3. Step 3: Cross multiply
    55,462x = 121,419 × 121,419
  4. Step 4: Simplify right side
    55,462x = 14,742,573,561
  5. Step 5: Solve for x
    x = 14,742,573,561/55,462
  6. Step 6: Final answer
    x = 265,813.95

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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.