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Finding the Third Proportional to 126,964 and 186,516

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Solution

The third proportional to 126,964 and 186,516 is: 274,000.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,964 : 186,516 = 186,516 : x
  2. Step 2: Convert to fraction form
    126,964/186,516 = 186,516/x
  3. Step 3: Cross multiply
    126,964x = 186,516 × 186,516
  4. Step 4: Simplify right side
    126,964x = 34,788,218,256
  5. Step 5: Solve for x
    x = 34,788,218,256/126,964
  6. Step 6: Final answer
    x = 274,000.65

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.