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Finding the Third Proportional to 65,826 and 99,319

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Solution

The third proportional to 65,826 and 99,319 is: 149,853.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,826 : 99,319 = 99,319 : x
  2. Step 2: Convert to fraction form
    65,826/99,319 = 99,319/x
  3. Step 3: Cross multiply
    65,826x = 99,319 × 99,319
  4. Step 4: Simplify right side
    65,826x = 9,864,263,761
  5. Step 5: Solve for x
    x = 9,864,263,761/65,826
  6. Step 6: Final answer
    x = 149,853.61

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.