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Finding the Third Proportional to 75,228 and 162,210

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Solution

The third proportional to 75,228 and 162,210 is: 349,764.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,228 : 162,210 = 162,210 : x
  2. Step 2: Convert to fraction form
    75,228/162,210 = 162,210/x
  3. Step 3: Cross multiply
    75,228x = 162,210 × 162,210
  4. Step 4: Simplify right side
    75,228x = 26,312,084,100
  5. Step 5: Solve for x
    x = 26,312,084,100/75,228
  6. Step 6: Final answer
    x = 349,764.50

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.