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Finding the Third Proportional to 64,125 and 140,550

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Solution

The third proportional to 64,125 and 140,550 is: 308,059.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,125 : 140,550 = 140,550 : x
  2. Step 2: Convert to fraction form
    64,125/140,550 = 140,550/x
  3. Step 3: Cross multiply
    64,125x = 140,550 × 140,550
  4. Step 4: Simplify right side
    64,125x = 19,754,302,500
  5. Step 5: Solve for x
    x = 19,754,302,500/64,125
  6. Step 6: Final answer
    x = 308,059.30

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.