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Finding the Third Proportional to 110,823.19 and 175,512.09

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Solution

The third proportional to 110,823.19 and 175,512.09 is: 277,960.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,823.19 : 175,512.09 = 175,512.09 : x
  2. Step 2: Convert to fraction form
    110,823.19/175,512.09 = 175,512.09/x
  3. Step 3: Cross multiply
    110,823.19x = 175,512.09 × 175,512.09
  4. Step 4: Simplify right side
    110,823.19x = 30,804,495,052.51
  5. Step 5: Solve for x
    x = 30,804,495,052.51/110,823.19
  6. Step 6: Final answer
    x = 277,960.74

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.