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Finding the Third Proportional to 87,032.81 and 117,427.22

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Solution

The third proportional to 87,032.81 and 117,427.22 is: 158,436.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,032.81 : 117,427.22 = 117,427.22 : x
  2. Step 2: Convert to fraction form
    87,032.81/117,427.22 = 117,427.22/x
  3. Step 3: Cross multiply
    87,032.81x = 117,427.22 × 117,427.22
  4. Step 4: Simplify right side
    87,032.81x = 13,789,151,703.36
  5. Step 5: Solve for x
    x = 13,789,151,703.36/87,032.81
  6. Step 6: Final answer
    x = 158,436.24

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.