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Finding the Third Proportional to 74,076 and 117,675

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Solution

The third proportional to 74,076 and 117,675 is: 186,935.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,076 : 117,675 = 117,675 : x
  2. Step 2: Convert to fraction form
    74,076/117,675 = 117,675/x
  3. Step 3: Cross multiply
    74,076x = 117,675 × 117,675
  4. Step 4: Simplify right side
    74,076x = 13,847,405,625
  5. Step 5: Solve for x
    x = 13,847,405,625/74,076
  6. Step 6: Final answer
    x = 186,935.12

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.