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Finding the Third Proportional to 74,368 and 113,295

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Solution

The third proportional to 74,368 and 113,295 is: 172,597.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,368 : 113,295 = 113,295 : x
  2. Step 2: Convert to fraction form
    74,368/113,295 = 113,295/x
  3. Step 3: Cross multiply
    74,368x = 113,295 × 113,295
  4. Step 4: Simplify right side
    74,368x = 12,835,757,025
  5. Step 5: Solve for x
    x = 12,835,757,025/74,368
  6. Step 6: Final answer
    x = 172,597.85

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.