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Finding the Third Proportional to 42,276 and 59,106

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Solution

The third proportional to 42,276 and 59,106 is: 82,635.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,276 : 59,106 = 59,106 : x
  2. Step 2: Convert to fraction form
    42,276/59,106 = 59,106/x
  3. Step 3: Cross multiply
    42,276x = 59,106 × 59,106
  4. Step 4: Simplify right side
    42,276x = 3,493,519,236
  5. Step 5: Solve for x
    x = 3,493,519,236/42,276
  6. Step 6: Final answer
    x = 82,635.99

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.