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Finding the Third Proportional to 100,454 and 147,891

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Solution

The third proportional to 100,454 and 147,891 is: 217,728.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,454 : 147,891 = 147,891 : x
  2. Step 2: Convert to fraction form
    100,454/147,891 = 147,891/x
  3. Step 3: Cross multiply
    100,454x = 147,891 × 147,891
  4. Step 4: Simplify right side
    100,454x = 21,871,747,881
  5. Step 5: Solve for x
    x = 21,871,747,881/100,454
  6. Step 6: Final answer
    x = 217,728.99

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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.