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Finding the Third Proportional to 61,441 and 92,596

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Solution

The third proportional to 61,441 and 92,596 is: 139,548.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,441 : 92,596 = 92,596 : x
  2. Step 2: Convert to fraction form
    61,441/92,596 = 92,596/x
  3. Step 3: Cross multiply
    61,441x = 92,596 × 92,596
  4. Step 4: Simplify right side
    61,441x = 8,574,019,216
  5. Step 5: Solve for x
    x = 8,574,019,216/61,441
  6. Step 6: Final answer
    x = 139,548.82

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.