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Finding the Third Proportional to 76,048 and 114,686

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Solution

The third proportional to 76,048 and 114,686 is: 172,954.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,048 : 114,686 = 114,686 : x
  2. Step 2: Convert to fraction form
    76,048/114,686 = 114,686/x
  3. Step 3: Cross multiply
    76,048x = 114,686 × 114,686
  4. Step 4: Simplify right side
    76,048x = 13,152,878,596
  5. Step 5: Solve for x
    x = 13,152,878,596/76,048
  6. Step 6: Final answer
    x = 172,954.96

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.