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Finding the Third Proportional to 42,456.75 and 89,970.75

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Solution

The third proportional to 42,456.75 and 89,970.75 is: 190,658.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,456.75 : 89,970.75 = 89,970.75 : x
  2. Step 2: Convert to fraction form
    42,456.75/89,970.75 = 89,970.75/x
  3. Step 3: Cross multiply
    42,456.75x = 89,970.75 × 89,970.75
  4. Step 4: Simplify right side
    42,456.75x = 8,094,735,855.56
  5. Step 5: Solve for x
    x = 8,094,735,855.56/42,456.75
  6. Step 6: Final answer
    x = 190,658.40

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.