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Finding the Third Proportional to 90,948 and 140,310

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Solution

The third proportional to 90,948 and 140,310 is: 216,463.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,948 : 140,310 = 140,310 : x
  2. Step 2: Convert to fraction form
    90,948/140,310 = 140,310/x
  3. Step 3: Cross multiply
    90,948x = 140,310 × 140,310
  4. Step 4: Simplify right side
    90,948x = 19,686,896,100
  5. Step 5: Solve for x
    x = 19,686,896,100/90,948
  6. Step 6: Final answer
    x = 216,463.21

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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.