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Finding the Third Proportional to 42,557.50 and 67,356.50

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Solution

The third proportional to 42,557.50 and 67,356.50 is: 106,606.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,557.50 : 67,356.50 = 67,356.50 : x
  2. Step 2: Convert to fraction form
    42,557.50/67,356.50 = 67,356.50/x
  3. Step 3: Cross multiply
    42,557.50x = 67,356.50 × 67,356.50
  4. Step 4: Simplify right side
    42,557.50x = 4,536,898,092.25
  5. Step 5: Solve for x
    x = 4,536,898,092.25/42,557.50
  6. Step 6: Final answer
    x = 106,606.31

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.