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Finding the Third Proportional to 92,963 and 139,657

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Solution

The third proportional to 92,963 and 139,657 is: 209,804.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,963 : 139,657 = 139,657 : x
  2. Step 2: Convert to fraction form
    92,963/139,657 = 139,657/x
  3. Step 3: Cross multiply
    92,963x = 139,657 × 139,657
  4. Step 4: Simplify right side
    92,963x = 19,504,077,649
  5. Step 5: Solve for x
    x = 19,504,077,649/92,963
  6. Step 6: Final answer
    x = 209,804.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.