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Finding the Third Proportional to 96,210 and 143,289

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Solution

The third proportional to 96,210 and 143,289 is: 213,405.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,210 : 143,289 = 143,289 : x
  2. Step 2: Convert to fraction form
    96,210/143,289 = 143,289/x
  3. Step 3: Cross multiply
    96,210x = 143,289 × 143,289
  4. Step 4: Simplify right side
    96,210x = 20,531,737,521
  5. Step 5: Solve for x
    x = 20,531,737,521/96,210
  6. Step 6: Final answer
    x = 213,405.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.