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Finding the Third Proportional to 75,578.63 and 164,971.88

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Solution

The third proportional to 75,578.63 and 164,971.88 is: 360,098.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,578.63 : 164,971.88 = 164,971.88 : x
  2. Step 2: Convert to fraction form
    75,578.63/164,971.88 = 164,971.88/x
  3. Step 3: Cross multiply
    75,578.63x = 164,971.88 × 164,971.88
  4. Step 4: Simplify right side
    75,578.63x = 27,215,719,541.02
  5. Step 5: Solve for x
    x = 27,215,719,541.02/75,578.63
  6. Step 6: Final answer
    x = 360,098.10

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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.