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Finding the Third Proportional to 101,453 and 159,145.50

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Solution

The third proportional to 101,453 and 159,145.50 is: 249,645.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,453 : 159,145.50 = 159,145.50 : x
  2. Step 2: Convert to fraction form
    101,453/159,145.50 = 159,145.50/x
  3. Step 3: Cross multiply
    101,453x = 159,145.50 × 159,145.50
  4. Step 4: Simplify right side
    101,453x = 25,327,290,170.25
  5. Step 5: Solve for x
    x = 25,327,290,170.25/101,453
  6. Step 6: Final answer
    x = 249,645.55

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.