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Finding the Third Proportional to 61,603.50 and 146,172

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Solution

The third proportional to 61,603.50 and 146,172 is: 346,835.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,603.50 : 146,172 = 146,172 : x
  2. Step 2: Convert to fraction form
    61,603.50/146,172 = 146,172/x
  3. Step 3: Cross multiply
    61,603.50x = 146,172 × 146,172
  4. Step 4: Simplify right side
    61,603.50x = 21,366,253,584
  5. Step 5: Solve for x
    x = 21,366,253,584/61,603.50
  6. Step 6: Final answer
    x = 346,835.06

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These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.