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Finding the Third Proportional to 76,112.63 and 163,447.69

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Solution

The third proportional to 76,112.63 and 163,447.69 is: 350,994.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,112.63 : 163,447.69 = 163,447.69 : x
  2. Step 2: Convert to fraction form
    76,112.63/163,447.69 = 163,447.69/x
  3. Step 3: Cross multiply
    76,112.63x = 163,447.69 × 163,447.69
  4. Step 4: Simplify right side
    76,112.63x = 26,715,146,549.10
  5. Step 5: Solve for x
    x = 26,715,146,549.10/76,112.63
  6. Step 6: Final answer
    x = 350,994.94

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.