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Finding the Third Proportional to 116,133.75 and 169,717.50

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Solution

The third proportional to 116,133.75 and 169,717.50 is: 248,024.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,133.75 : 169,717.50 = 169,717.50 : x
  2. Step 2: Convert to fraction form
    116,133.75/169,717.50 = 169,717.50/x
  3. Step 3: Cross multiply
    116,133.75x = 169,717.50 × 169,717.50
  4. Step 4: Simplify right side
    116,133.75x = 28,804,029,806.25
  5. Step 5: Solve for x
    x = 28,804,029,806.25/116,133.75
  6. Step 6: Final answer
    x = 248,024.63

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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.