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Finding the Third Proportional to 53,816.06 and 117,320.06

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Solution

The third proportional to 53,816.06 and 117,320.06 is: 255,760.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,816.06 : 117,320.06 = 117,320.06 : x
  2. Step 2: Convert to fraction form
    53,816.06/117,320.06 = 117,320.06/x
  3. Step 3: Cross multiply
    53,816.06x = 117,320.06 × 117,320.06
  4. Step 4: Simplify right side
    53,816.06x = 13,763,997,065.00
  5. Step 5: Solve for x
    x = 13,763,997,065.00/53,816.06
  6. Step 6: Final answer
    x = 255,760.02

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.