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Finding the Third Proportional to 78,278 and 119,109

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Solution

The third proportional to 78,278 and 119,109 is: 181,238.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,278 : 119,109 = 119,109 : x
  2. Step 2: Convert to fraction form
    78,278/119,109 = 119,109/x
  3. Step 3: Cross multiply
    78,278x = 119,109 × 119,109
  4. Step 4: Simplify right side
    78,278x = 14,186,953,881
  5. Step 5: Solve for x
    x = 14,186,953,881/78,278
  6. Step 6: Final answer
    x = 181,238.07

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.