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Finding the Third Proportional to 90,241 and 195,547

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Solution

The third proportional to 90,241 and 195,547 is: 423,738.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,241 : 195,547 = 195,547 : x
  2. Step 2: Convert to fraction form
    90,241/195,547 = 195,547/x
  3. Step 3: Cross multiply
    90,241x = 195,547 × 195,547
  4. Step 4: Simplify right side
    90,241x = 38,238,629,209
  5. Step 5: Solve for x
    x = 38,238,629,209/90,241
  6. Step 6: Final answer
    x = 423,738.98

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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.