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Finding the Third Proportional to 116,521 and 170,926

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Solution

The third proportional to 116,521 and 170,926 is: 250,733.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,521 : 170,926 = 170,926 : x
  2. Step 2: Convert to fraction form
    116,521/170,926 = 170,926/x
  3. Step 3: Cross multiply
    116,521x = 170,926 × 170,926
  4. Step 4: Simplify right side
    116,521x = 29,215,697,476
  5. Step 5: Solve for x
    x = 29,215,697,476/116,521
  6. Step 6: Final answer
    x = 250,733.32

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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.