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Finding the Third Proportional to 65,808.50 and 99,305

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Solution

The third proportional to 65,808.50 and 99,305 is: 149,851.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,808.50 : 99,305 = 99,305 : x
  2. Step 2: Convert to fraction form
    65,808.50/99,305 = 99,305/x
  3. Step 3: Cross multiply
    65,808.50x = 99,305 × 99,305
  4. Step 4: Simplify right side
    65,808.50x = 9,861,483,025
  5. Step 5: Solve for x
    x = 9,861,483,025/65,808.50
  6. Step 6: Final answer
    x = 149,851.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.