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Finding the Third Proportional to 64,532 and 138,407

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Solution

The third proportional to 64,532 and 138,407 is: 296,852.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,532 : 138,407 = 138,407 : x
  2. Step 2: Convert to fraction form
    64,532/138,407 = 138,407/x
  3. Step 3: Cross multiply
    64,532x = 138,407 × 138,407
  4. Step 4: Simplify right side
    64,532x = 19,156,497,649
  5. Step 5: Solve for x
    x = 19,156,497,649/64,532
  6. Step 6: Final answer
    x = 296,852.69

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.