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Finding the Third Proportional to 75,038 and 116,154

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Solution

The third proportional to 75,038 and 116,154 is: 179,798.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,038 : 116,154 = 116,154 : x
  2. Step 2: Convert to fraction form
    75,038/116,154 = 116,154/x
  3. Step 3: Cross multiply
    75,038x = 116,154 × 116,154
  4. Step 4: Simplify right side
    75,038x = 13,491,751,716
  5. Step 5: Solve for x
    x = 13,491,751,716/75,038
  6. Step 6: Final answer
    x = 179,798.92

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.