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Finding the Third Proportional to 75,697 and 117,545

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Solution

The third proportional to 75,697 and 117,545 is: 182,528.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,697 : 117,545 = 117,545 : x
  2. Step 2: Convert to fraction form
    75,697/117,545 = 117,545/x
  3. Step 3: Cross multiply
    75,697x = 117,545 × 117,545
  4. Step 4: Simplify right side
    75,697x = 13,816,827,025
  5. Step 5: Solve for x
    x = 13,816,827,025/75,697
  6. Step 6: Final answer
    x = 182,528.07

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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.