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Finding the Third Proportional to 75,216.09 and 116,841.23

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Solution

The third proportional to 75,216.09 and 116,841.23 is: 181,502.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,216.09 : 116,841.23 = 116,841.23 : x
  2. Step 2: Convert to fraction form
    75,216.09/116,841.23 = 116,841.23/x
  3. Step 3: Cross multiply
    75,216.09x = 116,841.23 × 116,841.23
  4. Step 4: Simplify right side
    75,216.09x = 13,651,874,050.27
  5. Step 5: Solve for x
    x = 13,651,874,050.27/75,216.09
  6. Step 6: Final answer
    x = 181,502.03

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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.