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Finding the Third Proportional to 62,421.75 and 97,816.25

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Solution

The third proportional to 62,421.75 and 97,816.25 is: 153,280.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,421.75 : 97,816.25 = 97,816.25 : x
  2. Step 2: Convert to fraction form
    62,421.75/97,816.25 = 97,816.25/x
  3. Step 3: Cross multiply
    62,421.75x = 97,816.25 × 97,816.25
  4. Step 4: Simplify right side
    62,421.75x = 9,568,018,764.06
  5. Step 5: Solve for x
    x = 9,568,018,764.06/62,421.75
  6. Step 6: Final answer
    x = 153,280.21

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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.