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Finding the Third Proportional to 48,533 and 70,135

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Solution

The third proportional to 48,533 and 70,135 is: 101,352.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,533 : 70,135 = 70,135 : x
  2. Step 2: Convert to fraction form
    48,533/70,135 = 70,135/x
  3. Step 3: Cross multiply
    48,533x = 70,135 × 70,135
  4. Step 4: Simplify right side
    48,533x = 4,918,918,225
  5. Step 5: Solve for x
    x = 4,918,918,225/48,533
  6. Step 6: Final answer
    x = 101,352.03

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.