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Finding the Third Proportional to 103,349 and 148,103

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Solution

The third proportional to 103,349 and 148,103 is: 212,237.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,349 : 148,103 = 148,103 : x
  2. Step 2: Convert to fraction form
    103,349/148,103 = 148,103/x
  3. Step 3: Cross multiply
    103,349x = 148,103 × 148,103
  4. Step 4: Simplify right side
    103,349x = 21,934,498,609
  5. Step 5: Solve for x
    x = 21,934,498,609/103,349
  6. Step 6: Final answer
    x = 212,237.16

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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.