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Finding the Third Proportional to 116,125.31 and 169,706.81

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Solution

The third proportional to 116,125.31 and 169,706.81 is: 248,011.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,125.31 : 169,706.81 = 169,706.81 : x
  2. Step 2: Convert to fraction form
    116,125.31/169,706.81 = 169,706.81/x
  3. Step 3: Cross multiply
    116,125.31x = 169,706.81 × 169,706.81
  4. Step 4: Simplify right side
    116,125.31x = 28,800,402,208.91
  5. Step 5: Solve for x
    x = 28,800,402,208.91/116,125.31
  6. Step 6: Final answer
    x = 248,011.41

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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.