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Finding the Third Proportional to 52,701.75 and 93,705.75

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Solution

The third proportional to 52,701.75 and 93,705.75 is: 166,612.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,701.75 : 93,705.75 = 93,705.75 : x
  2. Step 2: Convert to fraction form
    52,701.75/93,705.75 = 93,705.75/x
  3. Step 3: Cross multiply
    52,701.75x = 93,705.75 × 93,705.75
  4. Step 4: Simplify right side
    52,701.75x = 8,780,767,583.06
  5. Step 5: Solve for x
    x = 8,780,767,583.06/52,701.75
  6. Step 6: Final answer
    x = 166,612.45

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These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.