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Finding the Third Proportional to 116,126.50 and 169,708.50

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Solution

The third proportional to 116,126.50 and 169,708.50 is: 248,013.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,126.50 : 169,708.50 = 169,708.50 : x
  2. Step 2: Convert to fraction form
    116,126.50/169,708.50 = 169,708.50/x
  3. Step 3: Cross multiply
    116,126.50x = 169,708.50 × 169,708.50
  4. Step 4: Simplify right side
    116,126.50x = 28,800,974,972.25
  5. Step 5: Solve for x
    x = 28,800,974,972.25/116,126.50
  6. Step 6: Final answer
    x = 248,013.80

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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.