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Finding the Third Proportional to 103,413 and 158,125

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Solution

The third proportional to 103,413 and 158,125 is: 241,783.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,413 : 158,125 = 158,125 : x
  2. Step 2: Convert to fraction form
    103,413/158,125 = 158,125/x
  3. Step 3: Cross multiply
    103,413x = 158,125 × 158,125
  4. Step 4: Simplify right side
    103,413x = 25,003,515,625
  5. Step 5: Solve for x
    x = 25,003,515,625/103,413
  6. Step 6: Final answer
    x = 241,783.10

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.