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Finding the Third Proportional to 65,196 and 97,794

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Solution

The third proportional to 65,196 and 97,794 is: 146,691

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,196 : 97,794 = 97,794 : x
  2. Step 2: Convert to fraction form
    65,196/97,794 = 97,794/x
  3. Step 3: Cross multiply
    65,196x = 97,794 × 97,794
  4. Step 4: Simplify right side
    65,196x = 9,563,666,436
  5. Step 5: Solve for x
    x = 9,563,666,436/65,196
  6. Step 6: Final answer
    x = 146,691

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.