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Finding the Third Proportional to 50,071.50 and 70,429.50

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Solution

The third proportional to 50,071.50 and 70,429.50 is: 99,064.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,071.50 : 70,429.50 = 70,429.50 : x
  2. Step 2: Convert to fraction form
    50,071.50/70,429.50 = 70,429.50/x
  3. Step 3: Cross multiply
    50,071.50x = 70,429.50 × 70,429.50
  4. Step 4: Simplify right side
    50,071.50x = 4,960,314,470.25
  5. Step 5: Solve for x
    x = 4,960,314,470.25/50,071.50
  6. Step 6: Final answer
    x = 99,064.63

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.