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Finding the Third Proportional to 110,307 and 147,924

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Solution

The third proportional to 110,307 and 147,924 is: 198,369.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,307 : 147,924 = 147,924 : x
  2. Step 2: Convert to fraction form
    110,307/147,924 = 147,924/x
  3. Step 3: Cross multiply
    110,307x = 147,924 × 147,924
  4. Step 4: Simplify right side
    110,307x = 21,881,509,776
  5. Step 5: Solve for x
    x = 21,881,509,776/110,307
  6. Step 6: Final answer
    x = 198,369.19

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.