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Finding the Third Proportional to 94,461 and 132,078

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Solution

The third proportional to 94,461 and 132,078 is: 184,675.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,461 : 132,078 = 132,078 : x
  2. Step 2: Convert to fraction form
    94,461/132,078 = 132,078/x
  3. Step 3: Cross multiply
    94,461x = 132,078 × 132,078
  4. Step 4: Simplify right side
    94,461x = 17,444,598,084
  5. Step 5: Solve for x
    x = 17,444,598,084/94,461
  6. Step 6: Final answer
    x = 184,675.14

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.