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Finding the Third Proportional to 62,648 and 97,068

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Solution

The third proportional to 62,648 and 97,068 is: 150,399.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,648 : 97,068 = 97,068 : x
  2. Step 2: Convert to fraction form
    62,648/97,068 = 97,068/x
  3. Step 3: Cross multiply
    62,648x = 97,068 × 97,068
  4. Step 4: Simplify right side
    62,648x = 9,422,196,624
  5. Step 5: Solve for x
    x = 9,422,196,624/62,648
  6. Step 6: Final answer
    x = 150,399.00

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.