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Finding the Third Proportional to 42,560 and 67,359.50

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Solution

The third proportional to 42,560 and 67,359.50 is: 106,609.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,560 : 67,359.50 = 67,359.50 : x
  2. Step 2: Convert to fraction form
    42,560/67,359.50 = 67,359.50/x
  3. Step 3: Cross multiply
    42,560x = 67,359.50 × 67,359.50
  4. Step 4: Simplify right side
    42,560x = 4,537,302,240.25
  5. Step 5: Solve for x
    x = 4,537,302,240.25/42,560
  6. Step 6: Final answer
    x = 106,609.55

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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.