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Finding the Third Proportional to 63,670.50 and 96,963.75

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Solution

The third proportional to 63,670.50 and 96,963.75 is: 147,666.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,670.50 : 96,963.75 = 96,963.75 : x
  2. Step 2: Convert to fraction form
    63,670.50/96,963.75 = 96,963.75/x
  3. Step 3: Cross multiply
    63,670.50x = 96,963.75 × 96,963.75
  4. Step 4: Simplify right side
    63,670.50x = 9,401,968,814.06
  5. Step 5: Solve for x
    x = 9,401,968,814.06/63,670.50
  6. Step 6: Final answer
    x = 147,666.01

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.