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Finding the Third Proportional to 126,528 and 197,460

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Solution

The third proportional to 126,528 and 197,460 is: 308,156.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,528 : 197,460 = 197,460 : x
  2. Step 2: Convert to fraction form
    126,528/197,460 = 197,460/x
  3. Step 3: Cross multiply
    126,528x = 197,460 × 197,460
  4. Step 4: Simplify right side
    126,528x = 38,990,451,600
  5. Step 5: Solve for x
    x = 38,990,451,600/126,528
  6. Step 6: Final answer
    x = 308,156.71

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.