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Finding the Third Proportional to 112,301 and 168,907

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Solution

The third proportional to 112,301 and 168,907 is: 254,045.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,301 : 168,907 = 168,907 : x
  2. Step 2: Convert to fraction form
    112,301/168,907 = 168,907/x
  3. Step 3: Cross multiply
    112,301x = 168,907 × 168,907
  4. Step 4: Simplify right side
    112,301x = 28,529,574,649
  5. Step 5: Solve for x
    x = 28,529,574,649/112,301
  6. Step 6: Final answer
    x = 254,045.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.