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Finding the Third Proportional to 99,765 and 145,926

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Solution

The third proportional to 99,765 and 145,926 is: 213,445.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,765 : 145,926 = 145,926 : x
  2. Step 2: Convert to fraction form
    99,765/145,926 = 145,926/x
  3. Step 3: Cross multiply
    99,765x = 145,926 × 145,926
  4. Step 4: Simplify right side
    99,765x = 21,294,397,476
  5. Step 5: Solve for x
    x = 21,294,397,476/99,765
  6. Step 6: Final answer
    x = 213,445.57

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.