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Finding the Third Proportional to 100,317 and 134,275.50

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Solution

The third proportional to 100,317 and 134,275.50 is: 179,729.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,317 : 134,275.50 = 134,275.50 : x
  2. Step 2: Convert to fraction form
    100,317/134,275.50 = 134,275.50/x
  3. Step 3: Cross multiply
    100,317x = 134,275.50 × 134,275.50
  4. Step 4: Simplify right side
    100,317x = 18,029,909,900.25
  5. Step 5: Solve for x
    x = 18,029,909,900.25/100,317
  6. Step 6: Final answer
    x = 179,729.36

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.