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Finding the Third Proportional to 42,032.25 and 89,619.75

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Solution

The third proportional to 42,032.25 and 89,619.75 is: 191,084.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,032.25 : 89,619.75 = 89,619.75 : x
  2. Step 2: Convert to fraction form
    42,032.25/89,619.75 = 89,619.75/x
  3. Step 3: Cross multiply
    42,032.25x = 89,619.75 × 89,619.75
  4. Step 4: Simplify right side
    42,032.25x = 8,031,699,590.06
  5. Step 5: Solve for x
    x = 8,031,699,590.06/42,032.25
  6. Step 6: Final answer
    x = 191,084.22

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.