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Finding the Third Proportional to 59,828 and 93,861

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Solution

The third proportional to 59,828 and 93,861 is: 147,253.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,828 : 93,861 = 93,861 : x
  2. Step 2: Convert to fraction form
    59,828/93,861 = 93,861/x
  3. Step 3: Cross multiply
    59,828x = 93,861 × 93,861
  4. Step 4: Simplify right side
    59,828x = 8,809,887,321
  5. Step 5: Solve for x
    x = 8,809,887,321/59,828
  6. Step 6: Final answer
    x = 147,253.58

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.