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Finding the Third Proportional to 75,134 and 105,038

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Solution

The third proportional to 75,134 and 105,038 is: 146,844.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,134 : 105,038 = 105,038 : x
  2. Step 2: Convert to fraction form
    75,134/105,038 = 105,038/x
  3. Step 3: Cross multiply
    75,134x = 105,038 × 105,038
  4. Step 4: Simplify right side
    75,134x = 11,032,981,444
  5. Step 5: Solve for x
    x = 11,032,981,444/75,134
  6. Step 6: Final answer
    x = 146,844.06

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.