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Finding the Third Proportional to 84,291.75 and 118,570.50

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Solution

The third proportional to 84,291.75 and 118,570.50 is: 166,789.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,291.75 : 118,570.50 = 118,570.50 : x
  2. Step 2: Convert to fraction form
    84,291.75/118,570.50 = 118,570.50/x
  3. Step 3: Cross multiply
    84,291.75x = 118,570.50 × 118,570.50
  4. Step 4: Simplify right side
    84,291.75x = 14,058,963,470.25
  5. Step 5: Solve for x
    x = 14,058,963,470.25/84,291.75
  6. Step 6: Final answer
    x = 166,789.32

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.