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Finding the Third Proportional to 30,272.06 and 66,160.13

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Solution

The third proportional to 30,272.06 and 66,160.13 is: 144,594.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,272.06 : 66,160.13 = 66,160.13 : x
  2. Step 2: Convert to fraction form
    30,272.06/66,160.13 = 66,160.13/x
  3. Step 3: Cross multiply
    30,272.06x = 66,160.13 × 66,160.13
  4. Step 4: Simplify right side
    30,272.06x = 4,377,162,140.02
  5. Step 5: Solve for x
    x = 4,377,162,140.02/30,272.06
  6. Step 6: Final answer
    x = 144,594.12

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.