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Finding the Third Proportional to 58,212 and 87,228

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Solution

The third proportional to 58,212 and 87,228 is: 130,707.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,212 : 87,228 = 87,228 : x
  2. Step 2: Convert to fraction form
    58,212/87,228 = 87,228/x
  3. Step 3: Cross multiply
    58,212x = 87,228 × 87,228
  4. Step 4: Simplify right side
    58,212x = 7,608,723,984
  5. Step 5: Solve for x
    x = 7,608,723,984/58,212
  6. Step 6: Final answer
    x = 130,707.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.