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Finding the Third Proportional to 50,324 and 70,535

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Solution

The third proportional to 50,324 and 70,535 is: 98,863.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,324 : 70,535 = 70,535 : x
  2. Step 2: Convert to fraction form
    50,324/70,535 = 70,535/x
  3. Step 3: Cross multiply
    50,324x = 70,535 × 70,535
  4. Step 4: Simplify right side
    50,324x = 4,975,186,225
  5. Step 5: Solve for x
    x = 4,975,186,225/50,324
  6. Step 6: Final answer
    x = 98,863.09

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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.