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Finding the Third Proportional to 64,979 and 103,383

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Solution

The third proportional to 64,979 and 103,383 is: 164,484.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,979 : 103,383 = 103,383 : x
  2. Step 2: Convert to fraction form
    64,979/103,383 = 103,383/x
  3. Step 3: Cross multiply
    64,979x = 103,383 × 103,383
  4. Step 4: Simplify right side
    64,979x = 10,688,044,689
  5. Step 5: Solve for x
    x = 10,688,044,689/64,979
  6. Step 6: Final answer
    x = 164,484.60

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.