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Finding the Third Proportional to 64,798 and 139,438

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Solution

The third proportional to 64,798 and 139,438 is: 300,054.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,798 : 139,438 = 139,438 : x
  2. Step 2: Convert to fraction form
    64,798/139,438 = 139,438/x
  3. Step 3: Cross multiply
    64,798x = 139,438 × 139,438
  4. Step 4: Simplify right side
    64,798x = 19,442,955,844
  5. Step 5: Solve for x
    x = 19,442,955,844/64,798
  6. Step 6: Final answer
    x = 300,054.88

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.