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Finding the Third Proportional to 75,038 and 177,130

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Solution

The third proportional to 75,038 and 177,130 is: 418,121.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,038 : 177,130 = 177,130 : x
  2. Step 2: Convert to fraction form
    75,038/177,130 = 177,130/x
  3. Step 3: Cross multiply
    75,038x = 177,130 × 177,130
  4. Step 4: Simplify right side
    75,038x = 31,375,036,900
  5. Step 5: Solve for x
    x = 31,375,036,900/75,038
  6. Step 6: Final answer
    x = 418,121.98

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.