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Finding the Third Proportional to 82,959 and 125,037

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Solution

The third proportional to 82,959 and 125,037 is: 188,457.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,959 : 125,037 = 125,037 : x
  2. Step 2: Convert to fraction form
    82,959/125,037 = 125,037/x
  3. Step 3: Cross multiply
    82,959x = 125,037 × 125,037
  4. Step 4: Simplify right side
    82,959x = 15,634,251,369
  5. Step 5: Solve for x
    x = 15,634,251,369/82,959
  6. Step 6: Final answer
    x = 188,457.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.