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Finding the Third Proportional to 75,038 and 114,463

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Solution

The third proportional to 75,038 and 114,463 is: 174,601.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,038 : 114,463 = 114,463 : x
  2. Step 2: Convert to fraction form
    75,038/114,463 = 114,463/x
  3. Step 3: Cross multiply
    75,038x = 114,463 × 114,463
  4. Step 4: Simplify right side
    75,038x = 13,101,778,369
  5. Step 5: Solve for x
    x = 13,101,778,369/75,038
  6. Step 6: Final answer
    x = 174,601.91

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.