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Finding the Third Proportional to 75,569 and 165,501

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Solution

The third proportional to 75,569 and 165,501 is: 362,457.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,569 : 165,501 = 165,501 : x
  2. Step 2: Convert to fraction form
    75,569/165,501 = 165,501/x
  3. Step 3: Cross multiply
    75,569x = 165,501 × 165,501
  4. Step 4: Simplify right side
    75,569x = 27,390,581,001
  5. Step 5: Solve for x
    x = 27,390,581,001/75,569
  6. Step 6: Final answer
    x = 362,457.90

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.