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Finding the Third Proportional to 75,742 and 118,824

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Solution

The third proportional to 75,742 and 118,824 is: 186,411.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,742 : 118,824 = 118,824 : x
  2. Step 2: Convert to fraction form
    75,742/118,824 = 118,824/x
  3. Step 3: Cross multiply
    75,742x = 118,824 × 118,824
  4. Step 4: Simplify right side
    75,742x = 14,119,142,976
  5. Step 5: Solve for x
    x = 14,119,142,976/75,742
  6. Step 6: Final answer
    x = 186,411.01

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.