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Finding the Third Proportional to 82,419 and 94,083

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Solution

The third proportional to 82,419 and 94,083 is: 107,397.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,419 : 94,083 = 94,083 : x
  2. Step 2: Convert to fraction form
    82,419/94,083 = 94,083/x
  3. Step 3: Cross multiply
    82,419x = 94,083 × 94,083
  4. Step 4: Simplify right side
    82,419x = 8,851,610,889
  5. Step 5: Solve for x
    x = 8,851,610,889/82,419
  6. Step 6: Final answer
    x = 107,397.70

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.