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Finding the Third Proportional to 25,122 and 59,430

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Solution

The third proportional to 25,122 and 59,430 is: 140,590.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,122 : 59,430 = 59,430 : x
  2. Step 2: Convert to fraction form
    25,122/59,430 = 59,430/x
  3. Step 3: Cross multiply
    25,122x = 59,430 × 59,430
  4. Step 4: Simplify right side
    25,122x = 3,531,924,900
  5. Step 5: Solve for x
    x = 3,531,924,900/25,122
  6. Step 6: Final answer
    x = 140,590.91

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.