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Finding the Third Proportional to 74,230 and 114,961

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Solution

The third proportional to 74,230 and 114,961 is: 178,041.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,230 : 114,961 = 114,961 : x
  2. Step 2: Convert to fraction form
    74,230/114,961 = 114,961/x
  3. Step 3: Cross multiply
    74,230x = 114,961 × 114,961
  4. Step 4: Simplify right side
    74,230x = 13,216,031,521
  5. Step 5: Solve for x
    x = 13,216,031,521/74,230
  6. Step 6: Final answer
    x = 178,041.65

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.