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Finding the Third Proportional to 50,098 and 70,043

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Solution

The third proportional to 50,098 and 70,043 is: 97,928.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,098 : 70,043 = 70,043 : x
  2. Step 2: Convert to fraction form
    50,098/70,043 = 70,043/x
  3. Step 3: Cross multiply
    50,098x = 70,043 × 70,043
  4. Step 4: Simplify right side
    50,098x = 4,906,021,849
  5. Step 5: Solve for x
    x = 4,906,021,849/50,098
  6. Step 6: Final answer
    x = 97,928.50

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Why These Related Problems?

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