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Finding the Third Proportional to 75,340 and 116,730

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Solution

The third proportional to 75,340 and 116,730 is: 180,858.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,340 : 116,730 = 116,730 : x
  2. Step 2: Convert to fraction form
    75,340/116,730 = 116,730/x
  3. Step 3: Cross multiply
    75,340x = 116,730 × 116,730
  4. Step 4: Simplify right side
    75,340x = 13,625,892,900
  5. Step 5: Solve for x
    x = 13,625,892,900/75,340
  6. Step 6: Final answer
    x = 180,858.68

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.