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Finding the Third Proportional to 74,754 and 112,347

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Solution

The third proportional to 74,754 and 112,347 is: 168,845.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,754 : 112,347 = 112,347 : x
  2. Step 2: Convert to fraction form
    74,754/112,347 = 112,347/x
  3. Step 3: Cross multiply
    74,754x = 112,347 × 112,347
  4. Step 4: Simplify right side
    74,754x = 12,621,848,409
  5. Step 5: Solve for x
    x = 12,621,848,409/74,754
  6. Step 6: Final answer
    x = 168,845.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.