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Finding the Third Proportional to 91,307 and 144,881

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Solution

The third proportional to 91,307 and 144,881 is: 229,889.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,307 : 144,881 = 144,881 : x
  2. Step 2: Convert to fraction form
    91,307/144,881 = 144,881/x
  3. Step 3: Cross multiply
    91,307x = 144,881 × 144,881
  4. Step 4: Simplify right side
    91,307x = 20,990,504,161
  5. Step 5: Solve for x
    x = 20,990,504,161/91,307
  6. Step 6: Final answer
    x = 229,889.32

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.