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Finding the Third Proportional to 60,822 and 92,046

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Solution

The third proportional to 60,822 and 92,046 is: 139,299.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,822 : 92,046 = 92,046 : x
  2. Step 2: Convert to fraction form
    60,822/92,046 = 92,046/x
  3. Step 3: Cross multiply
    60,822x = 92,046 × 92,046
  4. Step 4: Simplify right side
    60,822x = 8,472,466,116
  5. Step 5: Solve for x
    x = 8,472,466,116/60,822
  6. Step 6: Final answer
    x = 139,299.37

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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.