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Finding the Third Proportional to 55,908 and 121,658

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Solution

The third proportional to 55,908 and 121,658 is: 264,732.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,908 : 121,658 = 121,658 : x
  2. Step 2: Convert to fraction form
    55,908/121,658 = 121,658/x
  3. Step 3: Cross multiply
    55,908x = 121,658 × 121,658
  4. Step 4: Simplify right side
    55,908x = 14,800,668,964
  5. Step 5: Solve for x
    x = 14,800,668,964/55,908
  6. Step 6: Final answer
    x = 264,732.58

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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.