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Finding the Third Proportional to 50,890.50 and 70,319.50

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Solution

The third proportional to 50,890.50 and 70,319.50 is: 97,166.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,890.50 : 70,319.50 = 70,319.50 : x
  2. Step 2: Convert to fraction form
    50,890.50/70,319.50 = 70,319.50/x
  3. Step 3: Cross multiply
    50,890.50x = 70,319.50 × 70,319.50
  4. Step 4: Simplify right side
    50,890.50x = 4,944,832,080.25
  5. Step 5: Solve for x
    x = 4,944,832,080.25/50,890.50
  6. Step 6: Final answer
    x = 97,166.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.