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Finding the Third Proportional to 75,715.17 and 118,791.35

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Solution

The third proportional to 75,715.17 and 118,791.35 is: 186,374.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,715.17 : 118,791.35 = 118,791.35 : x
  2. Step 2: Convert to fraction form
    75,715.17/118,791.35 = 118,791.35/x
  3. Step 3: Cross multiply
    75,715.17x = 118,791.35 × 118,791.35
  4. Step 4: Simplify right side
    75,715.17x = 14,111,385,206.05
  5. Step 5: Solve for x
    x = 14,111,385,206.05/75,715.17
  6. Step 6: Final answer
    x = 186,374.60

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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.