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Finding the Third Proportional to 74,145 and 114,904

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Solution

The third proportional to 74,145 and 114,904 is: 178,069.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,145 : 114,904 = 114,904 : x
  2. Step 2: Convert to fraction form
    74,145/114,904 = 114,904/x
  3. Step 3: Cross multiply
    74,145x = 114,904 × 114,904
  4. Step 4: Simplify right side
    74,145x = 13,202,929,216
  5. Step 5: Solve for x
    x = 13,202,929,216/74,145
  6. Step 6: Final answer
    x = 178,069.04

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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.