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Finding the Third Proportional to 79,506 and 107,963

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Solution

The third proportional to 79,506 and 107,963 is: 146,605.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,506 : 107,963 = 107,963 : x
  2. Step 2: Convert to fraction form
    79,506/107,963 = 107,963/x
  3. Step 3: Cross multiply
    79,506x = 107,963 × 107,963
  4. Step 4: Simplify right side
    79,506x = 11,656,009,369
  5. Step 5: Solve for x
    x = 11,656,009,369/79,506
  6. Step 6: Final answer
    x = 146,605.41

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.