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Finding the Third Proportional to 61,580.46 and 92,644.07

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Solution

The third proportional to 61,580.46 and 92,644.07 is: 139,377.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,580.46 : 92,644.07 = 92,644.07 : x
  2. Step 2: Convert to fraction form
    61,580.46/92,644.07 = 92,644.07/x
  3. Step 3: Cross multiply
    61,580.46x = 92,644.07 × 92,644.07
  4. Step 4: Simplify right side
    61,580.46x = 8,582,923,040.29
  5. Step 5: Solve for x
    x = 8,582,923,040.29/61,580.46
  6. Step 6: Final answer
    x = 139,377.38

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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.