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Finding the Third Proportional to 62,127 and 82,773

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Solution

The third proportional to 62,127 and 82,773 is: 110,280.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,127 : 82,773 = 82,773 : x
  2. Step 2: Convert to fraction form
    62,127/82,773 = 82,773/x
  3. Step 3: Cross multiply
    62,127x = 82,773 × 82,773
  4. Step 4: Simplify right side
    62,127x = 6,851,369,529
  5. Step 5: Solve for x
    x = 6,851,369,529/62,127
  6. Step 6: Final answer
    x = 110,280.06

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.