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Finding the Third Proportional to 83,290.78 and 118,705.92

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Solution

The third proportional to 83,290.78 and 118,705.92 is: 169,179.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,290.78 : 118,705.92 = 118,705.92 : x
  2. Step 2: Convert to fraction form
    83,290.78/118,705.92 = 118,705.92/x
  3. Step 3: Cross multiply
    83,290.78x = 118,705.92 × 118,705.92
  4. Step 4: Simplify right side
    83,290.78x = 14,091,095,888.19
  5. Step 5: Solve for x
    x = 14,091,095,888.19/83,290.78
  6. Step 6: Final answer
    x = 169,179.54

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