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Finding the Third Proportional to 53,580.13 and 115,224.88

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Solution

The third proportional to 53,580.13 and 115,224.88 is: 247,792.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,580.13 : 115,224.88 = 115,224.88 : x
  2. Step 2: Convert to fraction form
    53,580.13/115,224.88 = 115,224.88/x
  3. Step 3: Cross multiply
    53,580.13x = 115,224.88 × 115,224.88
  4. Step 4: Simplify right side
    53,580.13x = 13,276,771,818.77
  5. Step 5: Solve for x
    x = 13,276,771,818.77/53,580.13
  6. Step 6: Final answer
    x = 247,792.85

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.