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Finding the Third Proportional to 78,408 and 119,448

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Solution

The third proportional to 78,408 and 119,448 is: 181,968.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,408 : 119,448 = 119,448 : x
  2. Step 2: Convert to fraction form
    78,408/119,448 = 119,448/x
  3. Step 3: Cross multiply
    78,408x = 119,448 × 119,448
  4. Step 4: Simplify right side
    78,408x = 14,267,824,704
  5. Step 5: Solve for x
    x = 14,267,824,704/78,408
  6. Step 6: Final answer
    x = 181,968.99

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Why These Related Problems?

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