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Finding the Third Proportional to 50,305.50 and 70,506

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Solution

The third proportional to 50,305.50 and 70,506 is: 98,818.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,305.50 : 70,506 = 70,506 : x
  2. Step 2: Convert to fraction form
    50,305.50/70,506 = 70,506/x
  3. Step 3: Cross multiply
    50,305.50x = 70,506 × 70,506
  4. Step 4: Simplify right side
    50,305.50x = 4,971,096,036
  5. Step 5: Solve for x
    x = 4,971,096,036/50,305.50
  6. Step 6: Final answer
    x = 98,818.14

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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.