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Finding the Third Proportional to 66,008.04 and 142,539.12

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Solution

The third proportional to 66,008.04 and 142,539.12 is: 307,801.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,008.04 : 142,539.12 = 142,539.12 : x
  2. Step 2: Convert to fraction form
    66,008.04/142,539.12 = 142,539.12/x
  3. Step 3: Cross multiply
    66,008.04x = 142,539.12 × 142,539.12
  4. Step 4: Simplify right side
    66,008.04x = 20,317,399,928.59
  5. Step 5: Solve for x
    x = 20,317,399,928.59/66,008.04
  6. Step 6: Final answer
    x = 307,801.90

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.