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Finding the Third Proportional to 100,944 and 156,746

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Solution

The third proportional to 100,944 and 156,746 is: 243,395.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,944 : 156,746 = 156,746 : x
  2. Step 2: Convert to fraction form
    100,944/156,746 = 156,746/x
  3. Step 3: Cross multiply
    100,944x = 156,746 × 156,746
  4. Step 4: Simplify right side
    100,944x = 24,569,308,516
  5. Step 5: Solve for x
    x = 24,569,308,516/100,944
  6. Step 6: Final answer
    x = 243,395.43

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.