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Finding the Third Proportional to 72,828 and 111,358

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Solution

The third proportional to 72,828 and 111,358 is: 170,272.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,828 : 111,358 = 111,358 : x
  2. Step 2: Convert to fraction form
    72,828/111,358 = 111,358/x
  3. Step 3: Cross multiply
    72,828x = 111,358 × 111,358
  4. Step 4: Simplify right side
    72,828x = 12,400,604,164
  5. Step 5: Solve for x
    x = 12,400,604,164/72,828
  6. Step 6: Final answer
    x = 170,272.48

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.