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Finding the Third Proportional to 62,949 and 97,603

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Solution

The third proportional to 62,949 and 97,603 is: 151,334.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,949 : 97,603 = 97,603 : x
  2. Step 2: Convert to fraction form
    62,949/97,603 = 97,603/x
  3. Step 3: Cross multiply
    62,949x = 97,603 × 97,603
  4. Step 4: Simplify right side
    62,949x = 9,526,345,609
  5. Step 5: Solve for x
    x = 9,526,345,609/62,949
  6. Step 6: Final answer
    x = 151,334.34

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.