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Finding the Third Proportional to 69,021 and 108,148.50

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Solution

The third proportional to 69,021 and 108,148.50 is: 169,457.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,021 : 108,148.50 = 108,148.50 : x
  2. Step 2: Convert to fraction form
    69,021/108,148.50 = 108,148.50/x
  3. Step 3: Cross multiply
    69,021x = 108,148.50 × 108,148.50
  4. Step 4: Simplify right side
    69,021x = 11,696,098,052.25
  5. Step 5: Solve for x
    x = 11,696,098,052.25/69,021
  6. Step 6: Final answer
    x = 169,457.09

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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.