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Finding the Third Proportional to 57,270.75 and 118,470

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Solution

The third proportional to 57,270.75 and 118,470 is: 245,066.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,270.75 : 118,470 = 118,470 : x
  2. Step 2: Convert to fraction form
    57,270.75/118,470 = 118,470/x
  3. Step 3: Cross multiply
    57,270.75x = 118,470 × 118,470
  4. Step 4: Simplify right side
    57,270.75x = 14,035,140,900
  5. Step 5: Solve for x
    x = 14,035,140,900/57,270.75
  6. Step 6: Final answer
    x = 245,066.48

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.