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Finding the Third Proportional to 75,147.75 and 164,146.50

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Solution

The third proportional to 75,147.75 and 164,146.50 is: 358,547.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,147.75 : 164,146.50 = 164,146.50 : x
  2. Step 2: Convert to fraction form
    75,147.75/164,146.50 = 164,146.50/x
  3. Step 3: Cross multiply
    75,147.75x = 164,146.50 × 164,146.50
  4. Step 4: Simplify right side
    75,147.75x = 26,944,073,462.25
  5. Step 5: Solve for x
    x = 26,944,073,462.25/75,147.75
  6. Step 6: Final answer
    x = 358,547.97

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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.