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Finding the Third Proportional to 58,668 and 84,071.25

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Solution

The third proportional to 58,668 and 84,071.25 is: 120,474.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,668 : 84,071.25 = 84,071.25 : x
  2. Step 2: Convert to fraction form
    58,668/84,071.25 = 84,071.25/x
  3. Step 3: Cross multiply
    58,668x = 84,071.25 × 84,071.25
  4. Step 4: Simplify right side
    58,668x = 7,067,975,076.56
  5. Step 5: Solve for x
    x = 7,067,975,076.56/58,668
  6. Step 6: Final answer
    x = 120,474.11

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.