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Finding the Third Proportional to 76,275.14 and 164,029.22

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Solution

The third proportional to 76,275.14 and 164,029.22 is: 352,743.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,275.14 : 164,029.22 = 164,029.22 : x
  2. Step 2: Convert to fraction form
    76,275.14/164,029.22 = 164,029.22/x
  3. Step 3: Cross multiply
    76,275.14x = 164,029.22 × 164,029.22
  4. Step 4: Simplify right side
    76,275.14x = 26,905,584,603.74
  5. Step 5: Solve for x
    x = 26,905,584,603.74/76,275.14
  6. Step 6: Final answer
    x = 352,743.82

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