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Finding the Third Proportional to 83,295.25 and 118,712.25

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Solution

The third proportional to 83,295.25 and 118,712.25 is: 169,188.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,295.25 : 118,712.25 = 118,712.25 : x
  2. Step 2: Convert to fraction form
    83,295.25/118,712.25 = 118,712.25/x
  3. Step 3: Cross multiply
    83,295.25x = 118,712.25 × 118,712.25
  4. Step 4: Simplify right side
    83,295.25x = 14,092,598,300.06
  5. Step 5: Solve for x
    x = 14,092,598,300.06/83,295.25
  6. Step 6: Final answer
    x = 169,188.50

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.