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Finding the Third Proportional to 76,074.19 and 164,176.88

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Solution

The third proportional to 76,074.19 and 164,176.88 is: 354,312.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,074.19 : 164,176.88 = 164,176.88 : x
  2. Step 2: Convert to fraction form
    76,074.19/164,176.88 = 164,176.88/x
  3. Step 3: Cross multiply
    76,074.19x = 164,176.88 × 164,176.88
  4. Step 4: Simplify right side
    76,074.19x = 26,954,046,284.77
  5. Step 5: Solve for x
    x = 26,954,046,284.77/76,074.19
  6. Step 6: Final answer
    x = 354,312.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.