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Finding the Third Proportional to 78,834 and 119,070

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Solution

The third proportional to 78,834 and 119,070 is: 179,842.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,834 : 119,070 = 119,070 : x
  2. Step 2: Convert to fraction form
    78,834/119,070 = 119,070/x
  3. Step 3: Cross multiply
    78,834x = 119,070 × 119,070
  4. Step 4: Simplify right side
    78,834x = 14,177,664,900
  5. Step 5: Solve for x
    x = 14,177,664,900/78,834
  6. Step 6: Final answer
    x = 179,842.01

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.