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Finding the Third Proportional to 79,043 and 120,572

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Solution

The third proportional to 79,043 and 120,572 is: 183,920.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,043 : 120,572 = 120,572 : x
  2. Step 2: Convert to fraction form
    79,043/120,572 = 120,572/x
  3. Step 3: Cross multiply
    79,043x = 120,572 × 120,572
  4. Step 4: Simplify right side
    79,043x = 14,537,607,184
  5. Step 5: Solve for x
    x = 14,537,607,184/79,043
  6. Step 6: Final answer
    x = 183,920.24

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.