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Finding the Third Proportional to 61,201 and 93,617

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Solution

The third proportional to 61,201 and 93,617 is: 143,202.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,201 : 93,617 = 93,617 : x
  2. Step 2: Convert to fraction form
    61,201/93,617 = 93,617/x
  3. Step 3: Cross multiply
    61,201x = 93,617 × 93,617
  4. Step 4: Simplify right side
    61,201x = 8,764,142,689
  5. Step 5: Solve for x
    x = 8,764,142,689/61,201
  6. Step 6: Final answer
    x = 143,202.61

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.