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Finding the Third Proportional to 112,410 and 169,357

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Solution

The third proportional to 112,410 and 169,357 is: 255,153.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,410 : 169,357 = 169,357 : x
  2. Step 2: Convert to fraction form
    112,410/169,357 = 169,357/x
  3. Step 3: Cross multiply
    112,410x = 169,357 × 169,357
  4. Step 4: Simplify right side
    112,410x = 28,681,793,449
  5. Step 5: Solve for x
    x = 28,681,793,449/112,410
  6. Step 6: Final answer
    x = 255,153.40

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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.