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Finding the Third Proportional to 109,076.63 and 160,023.94

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Solution

The third proportional to 109,076.63 and 160,023.94 is: 234,767.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,076.63 : 160,023.94 = 160,023.94 : x
  2. Step 2: Convert to fraction form
    109,076.63/160,023.94 = 160,023.94/x
  3. Step 3: Cross multiply
    109,076.63x = 160,023.94 × 160,023.94
  4. Step 4: Simplify right side
    109,076.63x = 25,607,660,573.00
  5. Step 5: Solve for x
    x = 25,607,660,573.00/109,076.63
  6. Step 6: Final answer
    x = 234,767.63

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.