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Finding the Third Proportional to 55,727 and 121,609

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Solution

The third proportional to 55,727 and 121,609 is: 265,378.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,727 : 121,609 = 121,609 : x
  2. Step 2: Convert to fraction form
    55,727/121,609 = 121,609/x
  3. Step 3: Cross multiply
    55,727x = 121,609 × 121,609
  4. Step 4: Simplify right side
    55,727x = 14,788,748,881
  5. Step 5: Solve for x
    x = 14,788,748,881/55,727
  6. Step 6: Final answer
    x = 265,378.52

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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.