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Finding the Third Proportional to 55,734 and 121,623

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Solution

The third proportional to 55,734 and 121,623 is: 265,406.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,734 : 121,623 = 121,623 : x
  2. Step 2: Convert to fraction form
    55,734/121,623 = 121,623/x
  3. Step 3: Cross multiply
    55,734x = 121,623 × 121,623
  4. Step 4: Simplify right side
    55,734x = 14,792,154,129
  5. Step 5: Solve for x
    x = 14,792,154,129/55,734
  6. Step 6: Final answer
    x = 265,406.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.