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Finding the Third Proportional to 64,706 and 103,301

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Solution

The third proportional to 64,706 and 103,301 is: 164,916.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,706 : 103,301 = 103,301 : x
  2. Step 2: Convert to fraction form
    64,706/103,301 = 103,301/x
  3. Step 3: Cross multiply
    64,706x = 103,301 × 103,301
  4. Step 4: Simplify right side
    64,706x = 10,671,096,601
  5. Step 5: Solve for x
    x = 10,671,096,601/64,706
  6. Step 6: Final answer
    x = 164,916.65

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.