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Finding the Third Proportional to 42,106.50 and 92,687.63

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Solution

The third proportional to 42,106.50 and 92,687.63 is: 204,030.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,106.50 : 92,687.63 = 92,687.63 : x
  2. Step 2: Convert to fraction form
    42,106.50/92,687.63 = 92,687.63/x
  3. Step 3: Cross multiply
    42,106.50x = 92,687.63 × 92,687.63
  4. Step 4: Simplify right side
    42,106.50x = 8,590,995,828.14
  5. Step 5: Solve for x
    x = 8,590,995,828.14/42,106.50
  6. Step 6: Final answer
    x = 204,030.16

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.