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Finding the Third Proportional to 74,364 and 152,352

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Solution

The third proportional to 74,364 and 152,352 is: 312,128.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,364 : 152,352 = 152,352 : x
  2. Step 2: Convert to fraction form
    74,364/152,352 = 152,352/x
  3. Step 3: Cross multiply
    74,364x = 152,352 × 152,352
  4. Step 4: Simplify right side
    74,364x = 23,211,131,904
  5. Step 5: Solve for x
    x = 23,211,131,904/74,364
  6. Step 6: Final answer
    x = 312,128.61

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.