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Finding the Third Proportional to 112,673 and 239,710

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Solution

The third proportional to 112,673 and 239,710 is: 509,979.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,673 : 239,710 = 239,710 : x
  2. Step 2: Convert to fraction form
    112,673/239,710 = 239,710/x
  3. Step 3: Cross multiply
    112,673x = 239,710 × 239,710
  4. Step 4: Simplify right side
    112,673x = 57,460,884,100
  5. Step 5: Solve for x
    x = 57,460,884,100/112,673
  6. Step 6: Final answer
    x = 509,979.18

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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.