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Finding the Third Proportional to 75,893 and 164,907.75

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Solution

The third proportional to 75,893 and 164,907.75 is: 358,327.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,893 : 164,907.75 = 164,907.75 : x
  2. Step 2: Convert to fraction form
    75,893/164,907.75 = 164,907.75/x
  3. Step 3: Cross multiply
    75,893x = 164,907.75 × 164,907.75
  4. Step 4: Simplify right side
    75,893x = 27,194,566,010.06
  5. Step 5: Solve for x
    x = 27,194,566,010.06/75,893
  6. Step 6: Final answer
    x = 358,327.72

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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.