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Finding the Third Proportional to 75,643.88 and 164,598.75

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Solution

The third proportional to 75,643.88 and 164,598.75 is: 358,161.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,643.88 : 164,598.75 = 164,598.75 : x
  2. Step 2: Convert to fraction form
    75,643.88/164,598.75 = 164,598.75/x
  3. Step 3: Cross multiply
    75,643.88x = 164,598.75 × 164,598.75
  4. Step 4: Simplify right side
    75,643.88x = 27,092,748,501.56
  5. Step 5: Solve for x
    x = 27,092,748,501.56/75,643.88
  6. Step 6: Final answer
    x = 358,161.83

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.