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Finding the Third Proportional to 48,708 and 73,202

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Solution

The third proportional to 48,708 and 73,202 is: 110,013.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,708 : 73,202 = 73,202 : x
  2. Step 2: Convert to fraction form
    48,708/73,202 = 73,202/x
  3. Step 3: Cross multiply
    48,708x = 73,202 × 73,202
  4. Step 4: Simplify right side
    48,708x = 5,358,532,804
  5. Step 5: Solve for x
    x = 5,358,532,804/48,708
  6. Step 6: Final answer
    x = 110,013.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.