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Finding the Third Proportional to 62,254 and 81,715

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Solution

The third proportional to 62,254 and 81,715 is: 107,259.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,254 : 81,715 = 81,715 : x
  2. Step 2: Convert to fraction form
    62,254/81,715 = 81,715/x
  3. Step 3: Cross multiply
    62,254x = 81,715 × 81,715
  4. Step 4: Simplify right side
    62,254x = 6,677,341,225
  5. Step 5: Solve for x
    x = 6,677,341,225/62,254
  6. Step 6: Final answer
    x = 107,259.63

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.