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Finding the Third Proportional to 134,126 and 290,031

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Solution

The third proportional to 134,126 and 290,031 is: 627,156.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,126 : 290,031 = 290,031 : x
  2. Step 2: Convert to fraction form
    134,126/290,031 = 290,031/x
  3. Step 3: Cross multiply
    134,126x = 290,031 × 290,031
  4. Step 4: Simplify right side
    134,126x = 84,117,980,961
  5. Step 5: Solve for x
    x = 84,117,980,961/134,126
  6. Step 6: Final answer
    x = 627,156.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.