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Finding the Third Proportional to 91,753 and 141,074

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Solution

The third proportional to 91,753 and 141,074 is: 216,907.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,753 : 141,074 = 141,074 : x
  2. Step 2: Convert to fraction form
    91,753/141,074 = 141,074/x
  3. Step 3: Cross multiply
    91,753x = 141,074 × 141,074
  4. Step 4: Simplify right side
    91,753x = 19,901,873,476
  5. Step 5: Solve for x
    x = 19,901,873,476/91,753
  6. Step 6: Final answer
    x = 216,907.06

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.