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Finding the Third Proportional to 76,370 and 116,176

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Solution

The third proportional to 76,370 and 116,176 is: 176,729.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,370 : 116,176 = 116,176 : x
  2. Step 2: Convert to fraction form
    76,370/116,176 = 116,176/x
  3. Step 3: Cross multiply
    76,370x = 116,176 × 116,176
  4. Step 4: Simplify right side
    76,370x = 13,496,862,976
  5. Step 5: Solve for x
    x = 13,496,862,976/76,370
  6. Step 6: Final answer
    x = 176,729.91

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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.