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Finding the Third Proportional to 72,259 and 111,152

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Solution

The third proportional to 72,259 and 111,152 is: 170,978.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,259 : 111,152 = 111,152 : x
  2. Step 2: Convert to fraction form
    72,259/111,152 = 111,152/x
  3. Step 3: Cross multiply
    72,259x = 111,152 × 111,152
  4. Step 4: Simplify right side
    72,259x = 12,354,767,104
  5. Step 5: Solve for x
    x = 12,354,767,104/72,259
  6. Step 6: Final answer
    x = 170,978.94

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