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Finding the Third Proportional to 71,352 and 105,999

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Solution

The third proportional to 71,352 and 105,999 is: 157,469.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,352 : 105,999 = 105,999 : x
  2. Step 2: Convert to fraction form
    71,352/105,999 = 105,999/x
  3. Step 3: Cross multiply
    71,352x = 105,999 × 105,999
  4. Step 4: Simplify right side
    71,352x = 11,235,788,001
  5. Step 5: Solve for x
    x = 11,235,788,001/71,352
  6. Step 6: Final answer
    x = 157,469.84

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.