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Finding the Third Proportional to 57,068 and 121,534

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Solution

The third proportional to 57,068 and 121,534 is: 258,823.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,068 : 121,534 = 121,534 : x
  2. Step 2: Convert to fraction form
    57,068/121,534 = 121,534/x
  3. Step 3: Cross multiply
    57,068x = 121,534 × 121,534
  4. Step 4: Simplify right side
    57,068x = 14,770,513,156
  5. Step 5: Solve for x
    x = 14,770,513,156/57,068
  6. Step 6: Final answer
    x = 258,823.04

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.