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Finding the Third Proportional to 50,506 and 70,817

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Solution

The third proportional to 50,506 and 70,817 is: 99,296.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,506 : 70,817 = 70,817 : x
  2. Step 2: Convert to fraction form
    50,506/70,817 = 70,817/x
  3. Step 3: Cross multiply
    50,506x = 70,817 × 70,817
  4. Step 4: Simplify right side
    50,506x = 5,015,047,489
  5. Step 5: Solve for x
    x = 5,015,047,489/50,506
  6. Step 6: Final answer
    x = 99,296.07

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.