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Finding the Third Proportional to 100,904 and 157,944

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Solution

The third proportional to 100,904 and 157,944 is: 247,228.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,904 : 157,944 = 157,944 : x
  2. Step 2: Convert to fraction form
    100,904/157,944 = 157,944/x
  3. Step 3: Cross multiply
    100,904x = 157,944 × 157,944
  4. Step 4: Simplify right side
    100,904x = 24,946,307,136
  5. Step 5: Solve for x
    x = 24,946,307,136/100,904
  6. Step 6: Final answer
    x = 247,228.13

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.