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Finding the Third Proportional to 99,649 and 148,053

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Solution

The third proportional to 99,649 and 148,053 is: 219,969.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,649 : 148,053 = 148,053 : x
  2. Step 2: Convert to fraction form
    99,649/148,053 = 148,053/x
  3. Step 3: Cross multiply
    99,649x = 148,053 × 148,053
  4. Step 4: Simplify right side
    99,649x = 21,919,690,809
  5. Step 5: Solve for x
    x = 21,919,690,809/99,649
  6. Step 6: Final answer
    x = 219,969.00

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.