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Finding the Third Proportional to 74,817 and 114,993

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Solution

The third proportional to 74,817 and 114,993 is: 176,743.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,817 : 114,993 = 114,993 : x
  2. Step 2: Convert to fraction form
    74,817/114,993 = 114,993/x
  3. Step 3: Cross multiply
    74,817x = 114,993 × 114,993
  4. Step 4: Simplify right side
    74,817x = 13,223,390,049
  5. Step 5: Solve for x
    x = 13,223,390,049/74,817
  6. Step 6: Final answer
    x = 176,743.12

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.