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Finding the Third Proportional to 71,554.88 and 105,144.38

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Solution

The third proportional to 71,554.88 and 105,144.38 is: 154,501.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,554.88 : 105,144.38 = 105,144.38 : x
  2. Step 2: Convert to fraction form
    71,554.88/105,144.38 = 105,144.38/x
  3. Step 3: Cross multiply
    71,554.88x = 105,144.38 × 105,144.38
  4. Step 4: Simplify right side
    71,554.88x = 11,055,339,594.14
  5. Step 5: Solve for x
    x = 11,055,339,594.14/71,554.88
  6. Step 6: Final answer
    x = 154,501.56

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.