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Finding the Third Proportional to 55,390.71 and 120,806.60

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Solution

The third proportional to 55,390.71 and 120,806.60 is: 263,478.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,390.71 : 120,806.60 = 120,806.60 : x
  2. Step 2: Convert to fraction form
    55,390.71/120,806.60 = 120,806.60/x
  3. Step 3: Cross multiply
    55,390.71x = 120,806.60 × 120,806.60
  4. Step 4: Simplify right side
    55,390.71x = 14,594,233,565.38
  5. Step 5: Solve for x
    x = 14,594,233,565.38/55,390.71
  6. Step 6: Final answer
    x = 263,478.00

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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.