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Finding the Third Proportional to 74,774 and 114,932

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Solution

The third proportional to 74,774 and 114,932 is: 176,657.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,774 : 114,932 = 114,932 : x
  2. Step 2: Convert to fraction form
    74,774/114,932 = 114,932/x
  3. Step 3: Cross multiply
    74,774x = 114,932 × 114,932
  4. Step 4: Simplify right side
    74,774x = 13,209,364,624
  5. Step 5: Solve for x
    x = 13,209,364,624/74,774
  6. Step 6: Final answer
    x = 176,657.19

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.