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Finding the Third Proportional to 74,115 and 114,642

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Solution

The third proportional to 74,115 and 114,642 is: 177,329.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,115 : 114,642 = 114,642 : x
  2. Step 2: Convert to fraction form
    74,115/114,642 = 114,642/x
  3. Step 3: Cross multiply
    74,115x = 114,642 × 114,642
  4. Step 4: Simplify right side
    74,115x = 13,142,788,164
  5. Step 5: Solve for x
    x = 13,142,788,164/74,115
  6. Step 6: Final answer
    x = 177,329.67

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.