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Finding the Third Proportional to 75,724 and 117,583

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Solution

The third proportional to 75,724 and 117,583 is: 182,580.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,724 : 117,583 = 117,583 : x
  2. Step 2: Convert to fraction form
    75,724/117,583 = 117,583/x
  3. Step 3: Cross multiply
    75,724x = 117,583 × 117,583
  4. Step 4: Simplify right side
    75,724x = 13,825,761,889
  5. Step 5: Solve for x
    x = 13,825,761,889/75,724
  6. Step 6: Final answer
    x = 182,580.98

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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.