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Finding the Third Proportional to 75,153 and 116,037

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Solution

The third proportional to 75,153 and 116,037 is: 179,162.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,153 : 116,037 = 116,037 : x
  2. Step 2: Convert to fraction form
    75,153/116,037 = 116,037/x
  3. Step 3: Cross multiply
    75,153x = 116,037 × 116,037
  4. Step 4: Simplify right side
    75,153x = 13,464,585,369
  5. Step 5: Solve for x
    x = 13,464,585,369/75,153
  6. Step 6: Final answer
    x = 179,162.31

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.