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Finding the Third Proportional to 71,534 and 113,246

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Solution

The third proportional to 71,534 and 113,246 is: 179,280.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,534 : 113,246 = 113,246 : x
  2. Step 2: Convert to fraction form
    71,534/113,246 = 113,246/x
  3. Step 3: Cross multiply
    71,534x = 113,246 × 113,246
  4. Step 4: Simplify right side
    71,534x = 12,824,656,516
  5. Step 5: Solve for x
    x = 12,824,656,516/71,534
  6. Step 6: Final answer
    x = 179,280.57

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.