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Finding the Third Proportional to 116,634.75 and 158,263.50

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Solution

The third proportional to 116,634.75 and 158,263.50 is: 214,750.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,634.75 : 158,263.50 = 158,263.50 : x
  2. Step 2: Convert to fraction form
    116,634.75/158,263.50 = 158,263.50/x
  3. Step 3: Cross multiply
    116,634.75x = 158,263.50 × 158,263.50
  4. Step 4: Simplify right side
    116,634.75x = 25,047,335,432.25
  5. Step 5: Solve for x
    x = 25,047,335,432.25/116,634.75
  6. Step 6: Final answer
    x = 214,750.20

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.