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Finding the Third Proportional to 77,982.75 and 114,058.13

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Solution

The third proportional to 77,982.75 and 114,058.13 is: 166,822.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,982.75 : 114,058.13 = 114,058.13 : x
  2. Step 2: Convert to fraction form
    77,982.75/114,058.13 = 114,058.13/x
  3. Step 3: Cross multiply
    77,982.75x = 114,058.13 × 114,058.13
  4. Step 4: Simplify right side
    77,982.75x = 13,009,255,878.52
  5. Step 5: Solve for x
    x = 13,009,255,878.52/77,982.75
  6. Step 6: Final answer
    x = 166,822.23

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.