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Finding the Third Proportional to 62,656 and 95,969

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Solution

The third proportional to 62,656 and 95,969 is: 146,993.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,656 : 95,969 = 95,969 : x
  2. Step 2: Convert to fraction form
    62,656/95,969 = 95,969/x
  3. Step 3: Cross multiply
    62,656x = 95,969 × 95,969
  4. Step 4: Simplify right side
    62,656x = 9,210,048,961
  5. Step 5: Solve for x
    x = 9,210,048,961/62,656
  6. Step 6: Final answer
    x = 146,993.89

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.