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Finding the Third Proportional to 79,408 and 120,570

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Solution

The third proportional to 79,408 and 120,570 is: 183,068.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,408 : 120,570 = 120,570 : x
  2. Step 2: Convert to fraction form
    79,408/120,570 = 120,570/x
  3. Step 3: Cross multiply
    79,408x = 120,570 × 120,570
  4. Step 4: Simplify right side
    79,408x = 14,537,124,900
  5. Step 5: Solve for x
    x = 14,537,124,900/79,408
  6. Step 6: Final answer
    x = 183,068.77

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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.