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Finding the Third Proportional to 55,334 and 121,468

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Solution

The third proportional to 55,334 and 121,468 is: 266,643.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,334 : 121,468 = 121,468 : x
  2. Step 2: Convert to fraction form
    55,334/121,468 = 121,468/x
  3. Step 3: Cross multiply
    55,334x = 121,468 × 121,468
  4. Step 4: Simplify right side
    55,334x = 14,754,475,024
  5. Step 5: Solve for x
    x = 14,754,475,024/55,334
  6. Step 6: Final answer
    x = 266,643.93

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.