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Finding the Third Proportional to 42,374.63 and 94,042.50

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Solution

The third proportional to 42,374.63 and 94,042.50 is: 208,709.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,374.63 : 94,042.50 = 94,042.50 : x
  2. Step 2: Convert to fraction form
    42,374.63/94,042.50 = 94,042.50/x
  3. Step 3: Cross multiply
    42,374.63x = 94,042.50 × 94,042.50
  4. Step 4: Simplify right side
    42,374.63x = 8,843,991,806.25
  5. Step 5: Solve for x
    x = 8,843,991,806.25/42,374.63
  6. Step 6: Final answer
    x = 208,709.62

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.