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Finding the Third Proportional to 76,656 and 112,068

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Solution

The third proportional to 76,656 and 112,068 is: 163,838.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,656 : 112,068 = 112,068 : x
  2. Step 2: Convert to fraction form
    76,656/112,068 = 112,068/x
  3. Step 3: Cross multiply
    76,656x = 112,068 × 112,068
  4. Step 4: Simplify right side
    76,656x = 12,559,236,624
  5. Step 5: Solve for x
    x = 12,559,236,624/76,656
  6. Step 6: Final answer
    x = 163,838.92

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.