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Finding the Third Proportional to 66,196 and 97,998

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Solution

The third proportional to 66,196 and 97,998 is: 145,078.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,196 : 97,998 = 97,998 : x
  2. Step 2: Convert to fraction form
    66,196/97,998 = 97,998/x
  3. Step 3: Cross multiply
    66,196x = 97,998 × 97,998
  4. Step 4: Simplify right side
    66,196x = 9,603,608,004
  5. Step 5: Solve for x
    x = 9,603,608,004/66,196
  6. Step 6: Final answer
    x = 145,078.37

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.