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Finding the Third Proportional to 65,803.50 and 96,039

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Solution

The third proportional to 65,803.50 and 96,039 is: 140,167.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,803.50 : 96,039 = 96,039 : x
  2. Step 2: Convert to fraction form
    65,803.50/96,039 = 96,039/x
  3. Step 3: Cross multiply
    65,803.50x = 96,039 × 96,039
  4. Step 4: Simplify right side
    65,803.50x = 9,223,489,521
  5. Step 5: Solve for x
    x = 9,223,489,521/65,803.50
  6. Step 6: Final answer
    x = 140,167.16

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.