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Finding the Third Proportional to 92,718 and 139,077

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Solution

The third proportional to 92,718 and 139,077 is: 208,615.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,718 : 139,077 = 139,077 : x
  2. Step 2: Convert to fraction form
    92,718/139,077 = 139,077/x
  3. Step 3: Cross multiply
    92,718x = 139,077 × 139,077
  4. Step 4: Simplify right side
    92,718x = 19,342,411,929
  5. Step 5: Solve for x
    x = 19,342,411,929/92,718
  6. Step 6: Final answer
    x = 208,615.50

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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.