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Finding the Third Proportional to 111,864 and 170,712

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Solution

The third proportional to 111,864 and 170,712 is: 260,518.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,864 : 170,712 = 170,712 : x
  2. Step 2: Convert to fraction form
    111,864/170,712 = 170,712/x
  3. Step 3: Cross multiply
    111,864x = 170,712 × 170,712
  4. Step 4: Simplify right side
    111,864x = 29,142,586,944
  5. Step 5: Solve for x
    x = 29,142,586,944/111,864
  6. Step 6: Final answer
    x = 260,518.01

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.