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Finding the Third Proportional to 65,235 and 97,998

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Solution

The third proportional to 65,235 and 97,998 is: 147,215.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,235 : 97,998 = 97,998 : x
  2. Step 2: Convert to fraction form
    65,235/97,998 = 97,998/x
  3. Step 3: Cross multiply
    65,235x = 97,998 × 97,998
  4. Step 4: Simplify right side
    65,235x = 9,603,608,004
  5. Step 5: Solve for x
    x = 9,603,608,004/65,235
  6. Step 6: Final answer
    x = 147,215.57

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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.