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Finding the Third Proportional to 106,469 and 148,038

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Solution

The third proportional to 106,469 and 148,038 is: 205,836.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,469 : 148,038 = 148,038 : x
  2. Step 2: Convert to fraction form
    106,469/148,038 = 148,038/x
  3. Step 3: Cross multiply
    106,469x = 148,038 × 148,038
  4. Step 4: Simplify right side
    106,469x = 21,915,249,444
  5. Step 5: Solve for x
    x = 21,915,249,444/106,469
  6. Step 6: Final answer
    x = 205,836.91

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.