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Finding the Third Proportional to 78,046 and 119,991

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Solution

The third proportional to 78,046 and 119,991 is: 184,478.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,046 : 119,991 = 119,991 : x
  2. Step 2: Convert to fraction form
    78,046/119,991 = 119,991/x
  3. Step 3: Cross multiply
    78,046x = 119,991 × 119,991
  4. Step 4: Simplify right side
    78,046x = 14,397,840,081
  5. Step 5: Solve for x
    x = 14,397,840,081/78,046
  6. Step 6: Final answer
    x = 184,478.90

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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.