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Finding the Third Proportional to 83,058.19 and 124,561.69

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Solution

The third proportional to 83,058.19 and 124,561.69 is: 186,804.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,058.19 : 124,561.69 = 124,561.69 : x
  2. Step 2: Convert to fraction form
    83,058.19/124,561.69 = 124,561.69/x
  3. Step 3: Cross multiply
    83,058.19x = 124,561.69 × 124,561.69
  4. Step 4: Simplify right side
    83,058.19x = 15,515,613,992.85
  5. Step 5: Solve for x
    x = 15,515,613,992.85/83,058.19
  6. Step 6: Final answer
    x = 186,804.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.