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Finding the Third Proportional to 116,966 and 170,710

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Solution

The third proportional to 116,966 and 170,710 is: 249,148.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,966 : 170,710 = 170,710 : x
  2. Step 2: Convert to fraction form
    116,966/170,710 = 170,710/x
  3. Step 3: Cross multiply
    116,966x = 170,710 × 170,710
  4. Step 4: Simplify right side
    116,966x = 29,141,904,100
  5. Step 5: Solve for x
    x = 29,141,904,100/116,966
  6. Step 6: Final answer
    x = 249,148.51

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.