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Finding the Third Proportional to 96,541 and 143,307

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Solution

The third proportional to 96,541 and 143,307 is: 212,727.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,541 : 143,307 = 143,307 : x
  2. Step 2: Convert to fraction form
    96,541/143,307 = 143,307/x
  3. Step 3: Cross multiply
    96,541x = 143,307 × 143,307
  4. Step 4: Simplify right side
    96,541x = 20,536,896,249
  5. Step 5: Solve for x
    x = 20,536,896,249/96,541
  6. Step 6: Final answer
    x = 212,727.20

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.