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Finding the Third Proportional to 64,169 and 93,337

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Solution

The third proportional to 64,169 and 93,337 is: 135,763.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,169 : 93,337 = 93,337 : x
  2. Step 2: Convert to fraction form
    64,169/93,337 = 93,337/x
  3. Step 3: Cross multiply
    64,169x = 93,337 × 93,337
  4. Step 4: Simplify right side
    64,169x = 8,711,795,569
  5. Step 5: Solve for x
    x = 8,711,795,569/64,169
  6. Step 6: Final answer
    x = 135,763.31

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.