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Finding the Third Proportional to 110,822.06 and 175,510.69

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Solution

The third proportional to 110,822.06 and 175,510.69 is: 277,959.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,822.06 : 175,510.69 = 175,510.69 : x
  2. Step 2: Convert to fraction form
    110,822.06/175,510.69 = 175,510.69/x
  3. Step 3: Cross multiply
    110,822.06x = 175,510.69 × 175,510.69
  4. Step 4: Simplify right side
    110,822.06x = 30,804,001,426.72
  5. Step 5: Solve for x
    x = 30,804,001,426.72/110,822.06
  6. Step 6: Final answer
    x = 277,959.11

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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.