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Finding the Third Proportional to 75,217 and 163,924.50

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Solution

The third proportional to 75,217 and 163,924.50 is: 357,249.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,217 : 163,924.50 = 163,924.50 : x
  2. Step 2: Convert to fraction form
    75,217/163,924.50 = 163,924.50/x
  3. Step 3: Cross multiply
    75,217x = 163,924.50 × 163,924.50
  4. Step 4: Simplify right side
    75,217x = 26,871,241,700.25
  5. Step 5: Solve for x
    x = 26,871,241,700.25/75,217
  6. Step 6: Final answer
    x = 357,249.58

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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.