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Finding the Third Proportional to 101,355 and 142,567.88

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Solution

The third proportional to 101,355 and 142,567.88 is: 200,538.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,355 : 142,567.88 = 142,567.88 : x
  2. Step 2: Convert to fraction form
    101,355/142,567.88 = 142,567.88/x
  3. Step 3: Cross multiply
    101,355x = 142,567.88 × 142,567.88
  4. Step 4: Simplify right side
    101,355x = 20,325,598,982.02
  5. Step 5: Solve for x
    x = 20,325,598,982.02/101,355
  6. Step 6: Final answer
    x = 200,538.69

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.