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Finding the Third Proportional to 100,570.25 and 149,114.50

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Solution

The third proportional to 100,570.25 and 149,114.50 is: 221,090.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,570.25 : 149,114.50 = 149,114.50 : x
  2. Step 2: Convert to fraction form
    100,570.25/149,114.50 = 149,114.50/x
  3. Step 3: Cross multiply
    100,570.25x = 149,114.50 × 149,114.50
  4. Step 4: Simplify right side
    100,570.25x = 22,235,134,110.25
  5. Step 5: Solve for x
    x = 22,235,134,110.25/100,570.25
  6. Step 6: Final answer
    x = 221,090.57

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.