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Finding the Third Proportional to 103,421 and 151,846

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Solution

The third proportional to 103,421 and 151,846 is: 222,945.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,421 : 151,846 = 151,846 : x
  2. Step 2: Convert to fraction form
    103,421/151,846 = 151,846/x
  3. Step 3: Cross multiply
    103,421x = 151,846 × 151,846
  4. Step 4: Simplify right side
    103,421x = 23,057,207,716
  5. Step 5: Solve for x
    x = 23,057,207,716/103,421
  6. Step 6: Final answer
    x = 222,945.12

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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.