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Finding the Third Proportional to 112,414 and 169,363

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Solution

The third proportional to 112,414 and 169,363 is: 255,162.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,414 : 169,363 = 169,363 : x
  2. Step 2: Convert to fraction form
    112,414/169,363 = 169,363/x
  3. Step 3: Cross multiply
    112,414x = 169,363 × 169,363
  4. Step 4: Simplify right side
    112,414x = 28,683,825,769
  5. Step 5: Solve for x
    x = 28,683,825,769/112,414
  6. Step 6: Final answer
    x = 255,162.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.