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Finding the Third Proportional to 96,764 and 142,299

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Solution

The third proportional to 96,764 and 142,299 is: 209,261.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,764 : 142,299 = 142,299 : x
  2. Step 2: Convert to fraction form
    96,764/142,299 = 142,299/x
  3. Step 3: Cross multiply
    96,764x = 142,299 × 142,299
  4. Step 4: Simplify right side
    96,764x = 20,249,005,401
  5. Step 5: Solve for x
    x = 20,249,005,401/96,764
  6. Step 6: Final answer
    x = 209,261.76

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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.