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Finding the Third Proportional to 111,038 and 145,782

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Solution

The third proportional to 111,038 and 145,782 is: 191,397.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,038 : 145,782 = 145,782 : x
  2. Step 2: Convert to fraction form
    111,038/145,782 = 145,782/x
  3. Step 3: Cross multiply
    111,038x = 145,782 × 145,782
  4. Step 4: Simplify right side
    111,038x = 21,252,391,524
  5. Step 5: Solve for x
    x = 21,252,391,524/111,038
  6. Step 6: Final answer
    x = 191,397.46

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.