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Finding the Third Proportional to 76,994 and 160,106

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Solution

The third proportional to 76,994 and 160,106 is: 332,934.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,994 : 160,106 = 160,106 : x
  2. Step 2: Convert to fraction form
    76,994/160,106 = 160,106/x
  3. Step 3: Cross multiply
    76,994x = 160,106 × 160,106
  4. Step 4: Simplify right side
    76,994x = 25,633,931,236
  5. Step 5: Solve for x
    x = 25,633,931,236/76,994
  6. Step 6: Final answer
    x = 332,934.14

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.