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Finding the Third Proportional to 61,283 and 92,735

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Solution

The third proportional to 61,283 and 92,735 is: 140,328.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,283 : 92,735 = 92,735 : x
  2. Step 2: Convert to fraction form
    61,283/92,735 = 92,735/x
  3. Step 3: Cross multiply
    61,283x = 92,735 × 92,735
  4. Step 4: Simplify right side
    61,283x = 8,599,780,225
  5. Step 5: Solve for x
    x = 8,599,780,225/61,283
  6. Step 6: Final answer
    x = 140,328.97

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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.