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Finding the Third Proportional to 117,536.06 and 153,112.78

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Solution

The third proportional to 117,536.06 and 153,112.78 is: 199,458.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,536.06 : 153,112.78 = 153,112.78 : x
  2. Step 2: Convert to fraction form
    117,536.06/153,112.78 = 153,112.78/x
  3. Step 3: Cross multiply
    117,536.06x = 153,112.78 × 153,112.78
  4. Step 4: Simplify right side
    117,536.06x = 23,443,523,782.11
  5. Step 5: Solve for x
    x = 23,443,523,782.11/117,536.06
  6. Step 6: Final answer
    x = 199,458.13

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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.