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Finding the Third Proportional to 54,666.46 and 89,265.48

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Solution

The third proportional to 54,666.46 and 89,265.48 is: 145,762.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,666.46 : 89,265.48 = 89,265.48 : x
  2. Step 2: Convert to fraction form
    54,666.46/89,265.48 = 89,265.48/x
  3. Step 3: Cross multiply
    54,666.46x = 89,265.48 × 89,265.48
  4. Step 4: Simplify right side
    54,666.46x = 7,968,326,003.32
  5. Step 5: Solve for x
    x = 7,968,326,003.32/54,666.46
  6. Step 6: Final answer
    x = 145,762.62

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These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.