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Finding the Third Proportional to 34,047 and 79,117

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Solution

The third proportional to 34,047 and 79,117 is: 183,848.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,047 : 79,117 = 79,117 : x
  2. Step 2: Convert to fraction form
    34,047/79,117 = 79,117/x
  3. Step 3: Cross multiply
    34,047x = 79,117 × 79,117
  4. Step 4: Simplify right side
    34,047x = 6,259,499,689
  5. Step 5: Solve for x
    x = 6,259,499,689/34,047
  6. Step 6: Final answer
    x = 183,848.79

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.