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Finding the Third Proportional to 76,069.13 and 110,701.69

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Solution

The third proportional to 76,069.13 and 110,701.69 is: 161,101.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,069.13 : 110,701.69 = 110,701.69 : x
  2. Step 2: Convert to fraction form
    76,069.13/110,701.69 = 110,701.69/x
  3. Step 3: Cross multiply
    76,069.13x = 110,701.69 × 110,701.69
  4. Step 4: Simplify right side
    76,069.13x = 12,254,863,615.35
  5. Step 5: Solve for x
    x = 12,254,863,615.35/76,069.13
  6. Step 6: Final answer
    x = 161,101.68

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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.