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Finding the Third Proportional to 102,798 and 164,037

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Solution

The third proportional to 102,798 and 164,037 is: 261,757.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,798 : 164,037 = 164,037 : x
  2. Step 2: Convert to fraction form
    102,798/164,037 = 164,037/x
  3. Step 3: Cross multiply
    102,798x = 164,037 × 164,037
  4. Step 4: Simplify right side
    102,798x = 26,908,137,369
  5. Step 5: Solve for x
    x = 26,908,137,369/102,798
  6. Step 6: Final answer
    x = 261,757.40

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.