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Finding the Third Proportional to 62,826 and 97,154

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Solution

The third proportional to 62,826 and 97,154 is: 150,238.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,826 : 97,154 = 97,154 : x
  2. Step 2: Convert to fraction form
    62,826/97,154 = 97,154/x
  3. Step 3: Cross multiply
    62,826x = 97,154 × 97,154
  4. Step 4: Simplify right side
    62,826x = 9,438,899,716
  5. Step 5: Solve for x
    x = 9,438,899,716/62,826
  6. Step 6: Final answer
    x = 150,238.75

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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.