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Finding the Third Proportional to 90,106 and 195,584

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Solution

The third proportional to 90,106 and 195,584 is: 424,534.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,106 : 195,584 = 195,584 : x
  2. Step 2: Convert to fraction form
    90,106/195,584 = 195,584/x
  3. Step 3: Cross multiply
    90,106x = 195,584 × 195,584
  4. Step 4: Simplify right side
    90,106x = 38,253,101,056
  5. Step 5: Solve for x
    x = 38,253,101,056/90,106
  6. Step 6: Final answer
    x = 424,534.45

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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.