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Finding the Third Proportional to 90,102 and 195,576

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Solution

The third proportional to 90,102 and 195,576 is: 424,518.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,102 : 195,576 = 195,576 : x
  2. Step 2: Convert to fraction form
    90,102/195,576 = 195,576/x
  3. Step 3: Cross multiply
    90,102x = 195,576 × 195,576
  4. Step 4: Simplify right side
    90,102x = 38,249,971,776
  5. Step 5: Solve for x
    x = 38,249,971,776/90,102
  6. Step 6: Final answer
    x = 424,518.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.