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Finding the Third Proportional to 75,583 and 117,969.50

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Solution

The third proportional to 75,583 and 117,969.50 is: 184,126.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,583 : 117,969.50 = 117,969.50 : x
  2. Step 2: Convert to fraction form
    75,583/117,969.50 = 117,969.50/x
  3. Step 3: Cross multiply
    75,583x = 117,969.50 × 117,969.50
  4. Step 4: Simplify right side
    75,583x = 13,916,802,930.25
  5. Step 5: Solve for x
    x = 13,916,802,930.25/75,583
  6. Step 6: Final answer
    x = 184,126.10

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.