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Finding the Third Proportional to 63,021 and 94,531.50

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Solution

The third proportional to 63,021 and 94,531.50 is: 141,797.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,021 : 94,531.50 = 94,531.50 : x
  2. Step 2: Convert to fraction form
    63,021/94,531.50 = 94,531.50/x
  3. Step 3: Cross multiply
    63,021x = 94,531.50 × 94,531.50
  4. Step 4: Simplify right side
    63,021x = 8,936,204,492.25
  5. Step 5: Solve for x
    x = 8,936,204,492.25/63,021
  6. Step 6: Final answer
    x = 141,797.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.