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Finding the Third Proportional to 145,627 and 195,729.50

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Solution

The third proportional to 145,627 and 195,729.50 is: 263,069.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,627 : 195,729.50 = 195,729.50 : x
  2. Step 2: Convert to fraction form
    145,627/195,729.50 = 195,729.50/x
  3. Step 3: Cross multiply
    145,627x = 195,729.50 × 195,729.50
  4. Step 4: Simplify right side
    145,627x = 38,310,037,170.25
  5. Step 5: Solve for x
    x = 38,310,037,170.25/145,627
  6. Step 6: Final answer
    x = 263,069.60

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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.