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Finding the Third Proportional to 55,454.63 and 121,044.38

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Solution

The third proportional to 55,454.63 and 121,044.38 is: 264,211.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,454.63 : 121,044.38 = 121,044.38 : x
  2. Step 2: Convert to fraction form
    55,454.63/121,044.38 = 121,044.38/x
  3. Step 3: Cross multiply
    55,454.63x = 121,044.38 × 121,044.38
  4. Step 4: Simplify right side
    55,454.63x = 14,651,740,719.14
  5. Step 5: Solve for x
    x = 14,651,740,719.14/55,454.63
  6. Step 6: Final answer
    x = 264,211.34

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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.