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Finding the Third Proportional to 60,818 and 92,051

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Solution

The third proportional to 60,818 and 92,051 is: 139,323.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,818 : 92,051 = 92,051 : x
  2. Step 2: Convert to fraction form
    60,818/92,051 = 92,051/x
  3. Step 3: Cross multiply
    60,818x = 92,051 × 92,051
  4. Step 4: Simplify right side
    60,818x = 8,473,386,601
  5. Step 5: Solve for x
    x = 8,473,386,601/60,818
  6. Step 6: Final answer
    x = 139,323.66

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Why These Related Problems?

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