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Finding the Third Proportional to 44,580 and 92,896

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Solution

The third proportional to 44,580 and 92,896 is: 193,577.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,580 : 92,896 = 92,896 : x
  2. Step 2: Convert to fraction form
    44,580/92,896 = 92,896/x
  3. Step 3: Cross multiply
    44,580x = 92,896 × 92,896
  4. Step 4: Simplify right side
    44,580x = 8,629,666,816
  5. Step 5: Solve for x
    x = 8,629,666,816/44,580
  6. Step 6: Final answer
    x = 193,577.09

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.