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Finding the Third Proportional to 72,270 and 111,221

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Solution

The third proportional to 72,270 and 111,221 is: 171,165.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,270 : 111,221 = 111,221 : x
  2. Step 2: Convert to fraction form
    72,270/111,221 = 111,221/x
  3. Step 3: Cross multiply
    72,270x = 111,221 × 111,221
  4. Step 4: Simplify right side
    72,270x = 12,370,110,841
  5. Step 5: Solve for x
    x = 12,370,110,841/72,270
  6. Step 6: Final answer
    x = 171,165.23

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.