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Finding the Third Proportional to 52,042.50 and 70,166.25

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Solution

The third proportional to 52,042.50 and 70,166.25 is: 94,601.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,042.50 : 70,166.25 = 70,166.25 : x
  2. Step 2: Convert to fraction form
    52,042.50/70,166.25 = 70,166.25/x
  3. Step 3: Cross multiply
    52,042.50x = 70,166.25 × 70,166.25
  4. Step 4: Simplify right side
    52,042.50x = 4,923,302,639.06
  5. Step 5: Solve for x
    x = 4,923,302,639.06/52,042.50
  6. Step 6: Final answer
    x = 94,601.58

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.