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Finding the Third Proportional to 84,746.25 and 116,203.36

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Solution

The third proportional to 84,746.25 and 116,203.36 is: 159,337.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,746.25 : 116,203.36 = 116,203.36 : x
  2. Step 2: Convert to fraction form
    84,746.25/116,203.36 = 116,203.36/x
  3. Step 3: Cross multiply
    84,746.25x = 116,203.36 × 116,203.36
  4. Step 4: Simplify right side
    84,746.25x = 13,503,220,730.04
  5. Step 5: Solve for x
    x = 13,503,220,730.04/84,746.25
  6. Step 6: Final answer
    x = 159,337.09

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.