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Finding the Third Proportional to 103,828 and 148,473

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Solution

The third proportional to 103,828 and 148,473 is: 212,314.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,828 : 148,473 = 148,473 : x
  2. Step 2: Convert to fraction form
    103,828/148,473 = 148,473/x
  3. Step 3: Cross multiply
    103,828x = 148,473 × 148,473
  4. Step 4: Simplify right side
    103,828x = 22,044,231,729
  5. Step 5: Solve for x
    x = 22,044,231,729/103,828
  6. Step 6: Final answer
    x = 212,314.90

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.