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Finding the Third Proportional to 112,674 and 239,712

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Solution

The third proportional to 112,674 and 239,712 is: 509,983.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,674 : 239,712 = 239,712 : x
  2. Step 2: Convert to fraction form
    112,674/239,712 = 239,712/x
  3. Step 3: Cross multiply
    112,674x = 239,712 × 239,712
  4. Step 4: Simplify right side
    112,674x = 57,461,842,944
  5. Step 5: Solve for x
    x = 57,461,842,944/112,674
  6. Step 6: Final answer
    x = 509,983.16

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.