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Finding the Third Proportional to 133,075 and 199,613

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Solution

The third proportional to 133,075 and 199,613 is: 299,420.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,075 : 199,613 = 199,613 : x
  2. Step 2: Convert to fraction form
    133,075/199,613 = 199,613/x
  3. Step 3: Cross multiply
    133,075x = 199,613 × 199,613
  4. Step 4: Simplify right side
    133,075x = 39,845,349,769
  5. Step 5: Solve for x
    x = 39,845,349,769/133,075
  6. Step 6: Final answer
    x = 299,420.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.