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Finding the Third Proportional to 64,528 and 138,395

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Solution

The third proportional to 64,528 and 138,395 is: 296,819.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,528 : 138,395 = 138,395 : x
  2. Step 2: Convert to fraction form
    64,528/138,395 = 138,395/x
  3. Step 3: Cross multiply
    64,528x = 138,395 × 138,395
  4. Step 4: Simplify right side
    64,528x = 19,153,176,025
  5. Step 5: Solve for x
    x = 19,153,176,025/64,528
  6. Step 6: Final answer
    x = 296,819.61

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