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Finding the Third Proportional to 55,635.19 and 121,931.16

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Solution

The third proportional to 55,635.19 and 121,931.16 is: 267,226.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,635.19 : 121,931.16 = 121,931.16 : x
  2. Step 2: Convert to fraction form
    55,635.19/121,931.16 = 121,931.16/x
  3. Step 3: Cross multiply
    55,635.19x = 121,931.16 × 121,931.16
  4. Step 4: Simplify right side
    55,635.19x = 14,867,206,864.46
  5. Step 5: Solve for x
    x = 14,867,206,864.46/55,635.19
  6. Step 6: Final answer
    x = 267,226.69

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.