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Finding the Third Proportional to 113,368 and 169,460

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Solution

The third proportional to 113,368 and 169,460 is: 253,305.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,368 : 169,460 = 169,460 : x
  2. Step 2: Convert to fraction form
    113,368/169,460 = 169,460/x
  3. Step 3: Cross multiply
    113,368x = 169,460 × 169,460
  4. Step 4: Simplify right side
    113,368x = 28,716,691,600
  5. Step 5: Solve for x
    x = 28,716,691,600/113,368
  6. Step 6: Final answer
    x = 253,305.09

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.