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Finding the Third Proportional to 64,334 and 141,758

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Solution

The third proportional to 64,334 and 141,758 is: 312,359.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,334 : 141,758 = 141,758 : x
  2. Step 2: Convert to fraction form
    64,334/141,758 = 141,758/x
  3. Step 3: Cross multiply
    64,334x = 141,758 × 141,758
  4. Step 4: Simplify right side
    64,334x = 20,095,330,564
  5. Step 5: Solve for x
    x = 20,095,330,564/64,334
  6. Step 6: Final answer
    x = 312,359.41

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.