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Finding the Third Proportional to 60,707.50 and 95,024

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Solution

The third proportional to 60,707.50 and 95,024 is: 148,738.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,707.50 : 95,024 = 95,024 : x
  2. Step 2: Convert to fraction form
    60,707.50/95,024 = 95,024/x
  3. Step 3: Cross multiply
    60,707.50x = 95,024 × 95,024
  4. Step 4: Simplify right side
    60,707.50x = 9,029,560,576
  5. Step 5: Solve for x
    x = 9,029,560,576/60,707.50
  6. Step 6: Final answer
    x = 148,738.80

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.