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Finding the Third Proportional to 42,210.81 and 89,265.48

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Solution

The third proportional to 42,210.81 and 89,265.48 is: 188,774.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,210.81 : 89,265.48 = 89,265.48 : x
  2. Step 2: Convert to fraction form
    42,210.81/89,265.48 = 89,265.48/x
  3. Step 3: Cross multiply
    42,210.81x = 89,265.48 × 89,265.48
  4. Step 4: Simplify right side
    42,210.81x = 7,968,326,003.32
  5. Step 5: Solve for x
    x = 7,968,326,003.32/42,210.81
  6. Step 6: Final answer
    x = 188,774.54

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.