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Finding the Third Proportional to 67,979.25 and 112,347

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Solution

The third proportional to 67,979.25 and 112,347 is: 185,672.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,979.25 : 112,347 = 112,347 : x
  2. Step 2: Convert to fraction form
    67,979.25/112,347 = 112,347/x
  3. Step 3: Cross multiply
    67,979.25x = 112,347 × 112,347
  4. Step 4: Simplify right side
    67,979.25x = 12,621,848,409
  5. Step 5: Solve for x
    x = 12,621,848,409/67,979.25
  6. Step 6: Final answer
    x = 185,672.08

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.