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Finding the Third Proportional to 45,987.75 and 78,058.69

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Solution

The third proportional to 45,987.75 and 78,058.69 is: 132,495.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,987.75 : 78,058.69 = 78,058.69 : x
  2. Step 2: Convert to fraction form
    45,987.75/78,058.69 = 78,058.69/x
  3. Step 3: Cross multiply
    45,987.75x = 78,058.69 × 78,058.69
  4. Step 4: Simplify right side
    45,987.75x = 6,093,158,694.22
  5. Step 5: Solve for x
    x = 6,093,158,694.22/45,987.75
  6. Step 6: Final answer
    x = 132,495.26

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These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.