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Finding the Third Proportional to 110,957.06 and 157,001.63

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Solution

The third proportional to 110,957.06 and 157,001.63 is: 222,153.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,957.06 : 157,001.63 = 157,001.63 : x
  2. Step 2: Convert to fraction form
    110,957.06/157,001.63 = 157,001.63/x
  3. Step 3: Cross multiply
    110,957.06x = 157,001.63 × 157,001.63
  4. Step 4: Simplify right side
    110,957.06x = 24,649,510,252.64
  5. Step 5: Solve for x
    x = 24,649,510,252.64/110,957.06
  6. Step 6: Final answer
    x = 222,153.59

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.