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Finding the Third Proportional to 136,075 and 291,834

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Solution

The third proportional to 136,075 and 291,834 is: 625,883.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,075 : 291,834 = 291,834 : x
  2. Step 2: Convert to fraction form
    136,075/291,834 = 291,834/x
  3. Step 3: Cross multiply
    136,075x = 291,834 × 291,834
  4. Step 4: Simplify right side
    136,075x = 85,167,083,556
  5. Step 5: Solve for x
    x = 85,167,083,556/136,075
  6. Step 6: Final answer
    x = 625,883.40

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.