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Finding the Third Proportional to 114,019 and 171,712

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Solution

The third proportional to 114,019 and 171,712 is: 258,597.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,019 : 171,712 = 171,712 : x
  2. Step 2: Convert to fraction form
    114,019/171,712 = 171,712/x
  3. Step 3: Cross multiply
    114,019x = 171,712 × 171,712
  4. Step 4: Simplify right side
    114,019x = 29,485,010,944
  5. Step 5: Solve for x
    x = 29,485,010,944/114,019
  6. Step 6: Final answer
    x = 258,597.35

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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.