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Finding the Third Proportional to 62,523 and 96,963.75

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Solution

The third proportional to 62,523 and 96,963.75 is: 150,376.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,523 : 96,963.75 = 96,963.75 : x
  2. Step 2: Convert to fraction form
    62,523/96,963.75 = 96,963.75/x
  3. Step 3: Cross multiply
    62,523x = 96,963.75 × 96,963.75
  4. Step 4: Simplify right side
    62,523x = 9,401,968,814.06
  5. Step 5: Solve for x
    x = 9,401,968,814.06/62,523
  6. Step 6: Final answer
    x = 150,376.16

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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.