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Finding the Third Proportional to 74,946 and 112,912

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Solution

The third proportional to 74,946 and 112,912 is: 170,110.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,946 : 112,912 = 112,912 : x
  2. Step 2: Convert to fraction form
    74,946/112,912 = 112,912/x
  3. Step 3: Cross multiply
    74,946x = 112,912 × 112,912
  4. Step 4: Simplify right side
    74,946x = 12,749,119,744
  5. Step 5: Solve for x
    x = 12,749,119,744/74,946
  6. Step 6: Final answer
    x = 170,110.74

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.