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Finding the Third Proportional to 29,654 and 64,168

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Solution

The third proportional to 29,654 and 64,168 is: 138,852.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,654 : 64,168 = 64,168 : x
  2. Step 2: Convert to fraction form
    29,654/64,168 = 64,168/x
  3. Step 3: Cross multiply
    29,654x = 64,168 × 64,168
  4. Step 4: Simplify right side
    29,654x = 4,117,532,224
  5. Step 5: Solve for x
    x = 4,117,532,224/29,654
  6. Step 6: Final answer
    x = 138,852.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.