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Finding the Third Proportional to 61,675.50 and 133,170

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Solution

The third proportional to 61,675.50 and 133,170 is: 287,541.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,675.50 : 133,170 = 133,170 : x
  2. Step 2: Convert to fraction form
    61,675.50/133,170 = 133,170/x
  3. Step 3: Cross multiply
    61,675.50x = 133,170 × 133,170
  4. Step 4: Simplify right side
    61,675.50x = 17,734,248,900
  5. Step 5: Solve for x
    x = 17,734,248,900/61,675.50
  6. Step 6: Final answer
    x = 287,541.23

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.