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Finding the Third Proportional to 30,267 and 64,175

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Solution

The third proportional to 30,267 and 64,175 is: 136,070.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,267 : 64,175 = 64,175 : x
  2. Step 2: Convert to fraction form
    30,267/64,175 = 64,175/x
  3. Step 3: Cross multiply
    30,267x = 64,175 × 64,175
  4. Step 4: Simplify right side
    30,267x = 4,118,430,625
  5. Step 5: Solve for x
    x = 4,118,430,625/30,267
  6. Step 6: Final answer
    x = 136,070.00

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.