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Finding the Third Proportional to 107,152 and 161,699

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Solution

The third proportional to 107,152 and 161,699 is: 244,013.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,152 : 161,699 = 161,699 : x
  2. Step 2: Convert to fraction form
    107,152/161,699 = 161,699/x
  3. Step 3: Cross multiply
    107,152x = 161,699 × 161,699
  4. Step 4: Simplify right side
    107,152x = 26,146,566,601
  5. Step 5: Solve for x
    x = 26,146,566,601/107,152
  6. Step 6: Final answer
    x = 244,013.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.