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Finding the Third Proportional to 75,046.50 and 114,117

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Solution

The third proportional to 75,046.50 and 114,117 is: 173,528.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,046.50 : 114,117 = 114,117 : x
  2. Step 2: Convert to fraction form
    75,046.50/114,117 = 114,117/x
  3. Step 3: Cross multiply
    75,046.50x = 114,117 × 114,117
  4. Step 4: Simplify right side
    75,046.50x = 13,022,689,689
  5. Step 5: Solve for x
    x = 13,022,689,689/75,046.50
  6. Step 6: Final answer
    x = 173,528.27

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.