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Finding the Third Proportional to 76,050 and 164,943

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Solution

The third proportional to 76,050 and 164,943 is: 357,740.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,050 : 164,943 = 164,943 : x
  2. Step 2: Convert to fraction form
    76,050/164,943 = 164,943/x
  3. Step 3: Cross multiply
    76,050x = 164,943 × 164,943
  4. Step 4: Simplify right side
    76,050x = 27,206,193,249
  5. Step 5: Solve for x
    x = 27,206,193,249/76,050
  6. Step 6: Final answer
    x = 357,740.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.