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Finding the Third Proportional to 74,946 and 112,911

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Solution

The third proportional to 74,946 and 112,911 is: 170,107.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,946 : 112,911 = 112,911 : x
  2. Step 2: Convert to fraction form
    74,946/112,911 = 112,911/x
  3. Step 3: Cross multiply
    74,946x = 112,911 × 112,911
  4. Step 4: Simplify right side
    74,946x = 12,748,893,921
  5. Step 5: Solve for x
    x = 12,748,893,921/74,946
  6. Step 6: Final answer
    x = 170,107.73

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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.