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Finding the Third Proportional to 112,297 and 168,901

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Solution

The third proportional to 112,297 and 168,901 is: 254,036.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,297 : 168,901 = 168,901 : x
  2. Step 2: Convert to fraction form
    112,297/168,901 = 168,901/x
  3. Step 3: Cross multiply
    112,297x = 168,901 × 168,901
  4. Step 4: Simplify right side
    112,297x = 28,527,547,801
  5. Step 5: Solve for x
    x = 28,527,547,801/112,297
  6. Step 6: Final answer
    x = 254,036.60

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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.