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Finding the Third Proportional to 65,814 and 104,553

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Solution

The third proportional to 65,814 and 104,553 is: 166,094.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,814 : 104,553 = 104,553 : x
  2. Step 2: Convert to fraction form
    65,814/104,553 = 104,553/x
  3. Step 3: Cross multiply
    65,814x = 104,553 × 104,553
  4. Step 4: Simplify right side
    65,814x = 10,931,329,809
  5. Step 5: Solve for x
    x = 10,931,329,809/65,814
  6. Step 6: Final answer
    x = 166,094.29

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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.