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Finding the Third Proportional to 142,521 and 301,062

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Solution

The third proportional to 142,521 and 301,062 is: 635,964.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,521 : 301,062 = 301,062 : x
  2. Step 2: Convert to fraction form
    142,521/301,062 = 301,062/x
  3. Step 3: Cross multiply
    142,521x = 301,062 × 301,062
  4. Step 4: Simplify right side
    142,521x = 90,638,327,844
  5. Step 5: Solve for x
    x = 90,638,327,844/142,521
  6. Step 6: Final answer
    x = 635,964.72

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.