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Finding the Third Proportional to 62,502.75 and 96,808.50

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Solution

The third proportional to 62,502.75 and 96,808.50 is: 149,943.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,502.75 : 96,808.50 = 96,808.50 : x
  2. Step 2: Convert to fraction form
    62,502.75/96,808.50 = 96,808.50/x
  3. Step 3: Cross multiply
    62,502.75x = 96,808.50 × 96,808.50
  4. Step 4: Simplify right side
    62,502.75x = 9,371,885,672.25
  5. Step 5: Solve for x
    x = 9,371,885,672.25/62,502.75
  6. Step 6: Final answer
    x = 149,943.57

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.