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Finding the Third Proportional to 57,364.03 and 121,565.81

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Solution

The third proportional to 57,364.03 and 121,565.81 is: 257,622.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,364.03 : 121,565.81 = 121,565.81 : x
  2. Step 2: Convert to fraction form
    57,364.03/121,565.81 = 121,565.81/x
  3. Step 3: Cross multiply
    57,364.03x = 121,565.81 × 121,565.81
  4. Step 4: Simplify right side
    57,364.03x = 14,778,246,768.79
  5. Step 5: Solve for x
    x = 14,778,246,768.79/57,364.03
  6. Step 6: Final answer
    x = 257,622.18

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.