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Finding the Third Proportional to 95,342 and 145,576

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Solution

The third proportional to 95,342 and 145,576 is: 222,277.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,342 : 145,576 = 145,576 : x
  2. Step 2: Convert to fraction form
    95,342/145,576 = 145,576/x
  3. Step 3: Cross multiply
    95,342x = 145,576 × 145,576
  4. Step 4: Simplify right side
    95,342x = 21,192,371,776
  5. Step 5: Solve for x
    x = 21,192,371,776/95,342
  6. Step 6: Final answer
    x = 222,277.40

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.