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Finding the Third Proportional to 75,927.38 and 164,966.63

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Solution

The third proportional to 75,927.38 and 164,966.63 is: 358,421.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,927.38 : 164,966.63 = 164,966.63 : x
  2. Step 2: Convert to fraction form
    75,927.38/164,966.63 = 164,966.63/x
  3. Step 3: Cross multiply
    75,927.38x = 164,966.63 × 164,966.63
  4. Step 4: Simplify right side
    75,927.38x = 27,213,987,363.89
  5. Step 5: Solve for x
    x = 27,213,987,363.89/75,927.38
  6. Step 6: Final answer
    x = 358,421.29

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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.