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Finding the Third Proportional to 61,678 and 92,516

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Solution

The third proportional to 61,678 and 92,516 is: 138,772.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,678 : 92,516 = 92,516 : x
  2. Step 2: Convert to fraction form
    61,678/92,516 = 92,516/x
  3. Step 3: Cross multiply
    61,678x = 92,516 × 92,516
  4. Step 4: Simplify right side
    61,678x = 8,559,210,256
  5. Step 5: Solve for x
    x = 8,559,210,256/61,678
  6. Step 6: Final answer
    x = 138,772.50

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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.