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Finding the Third Proportional to 63,225 and 74,781

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Solution

The third proportional to 63,225 and 74,781 is: 88,449.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,225 : 74,781 = 74,781 : x
  2. Step 2: Convert to fraction form
    63,225/74,781 = 74,781/x
  3. Step 3: Cross multiply
    63,225x = 74,781 × 74,781
  4. Step 4: Simplify right side
    63,225x = 5,592,197,961
  5. Step 5: Solve for x
    x = 5,592,197,961/63,225
  6. Step 6: Final answer
    x = 88,449.16

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.