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Finding the Third Proportional to 76,698 and 116,235

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Solution

The third proportional to 76,698 and 116,235 is: 176,152.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,698 : 116,235 = 116,235 : x
  2. Step 2: Convert to fraction form
    76,698/116,235 = 116,235/x
  3. Step 3: Cross multiply
    76,698x = 116,235 × 116,235
  4. Step 4: Simplify right side
    76,698x = 13,510,575,225
  5. Step 5: Solve for x
    x = 13,510,575,225/76,698
  6. Step 6: Final answer
    x = 176,152.90

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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.