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Finding the Third Proportional to 78,770 and 125,259

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Solution

The third proportional to 78,770 and 125,259 is: 199,185.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,770 : 125,259 = 125,259 : x
  2. Step 2: Convert to fraction form
    78,770/125,259 = 125,259/x
  3. Step 3: Cross multiply
    78,770x = 125,259 × 125,259
  4. Step 4: Simplify right side
    78,770x = 15,689,817,081
  5. Step 5: Solve for x
    x = 15,689,817,081/78,770
  6. Step 6: Final answer
    x = 199,185.19

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.