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Finding the Third Proportional to 60,946 and 92,595

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Solution

The third proportional to 60,946 and 92,595 is: 140,679.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,946 : 92,595 = 92,595 : x
  2. Step 2: Convert to fraction form
    60,946/92,595 = 92,595/x
  3. Step 3: Cross multiply
    60,946x = 92,595 × 92,595
  4. Step 4: Simplify right side
    60,946x = 8,573,834,025
  5. Step 5: Solve for x
    x = 8,573,834,025/60,946
  6. Step 6: Final answer
    x = 140,679.19

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.