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Finding the Third Proportional to 40,236 and 59,140

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Solution

The third proportional to 40,236 and 59,140 is: 86,925.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,236 : 59,140 = 59,140 : x
  2. Step 2: Convert to fraction form
    40,236/59,140 = 59,140/x
  3. Step 3: Cross multiply
    40,236x = 59,140 × 59,140
  4. Step 4: Simplify right side
    40,236x = 3,497,539,600
  5. Step 5: Solve for x
    x = 3,497,539,600/40,236
  6. Step 6: Final answer
    x = 86,925.63

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.