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Finding the Third Proportional to 112,907 and 169,370

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Solution

The third proportional to 112,907 and 169,370 is: 254,069.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,907 : 169,370 = 169,370 : x
  2. Step 2: Convert to fraction form
    112,907/169,370 = 169,370/x
  3. Step 3: Cross multiply
    112,907x = 169,370 × 169,370
  4. Step 4: Simplify right side
    112,907x = 28,686,196,900
  5. Step 5: Solve for x
    x = 28,686,196,900/112,907
  6. Step 6: Final answer
    x = 254,069.25

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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.