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Finding the Third Proportional to 61,101.50 and 92,267

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Solution

The third proportional to 61,101.50 and 92,267 is: 139,328.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,101.50 : 92,267 = 92,267 : x
  2. Step 2: Convert to fraction form
    61,101.50/92,267 = 92,267/x
  3. Step 3: Cross multiply
    61,101.50x = 92,267 × 92,267
  4. Step 4: Simplify right side
    61,101.50x = 8,513,199,289
  5. Step 5: Solve for x
    x = 8,513,199,289/61,101.50
  6. Step 6: Final answer
    x = 139,328.81

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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.