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Finding the Third Proportional to 65,445 and 103,797

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Solution

The third proportional to 65,445 and 103,797 is: 164,623.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,445 : 103,797 = 103,797 : x
  2. Step 2: Convert to fraction form
    65,445/103,797 = 103,797/x
  3. Step 3: Cross multiply
    65,445x = 103,797 × 103,797
  4. Step 4: Simplify right side
    65,445x = 10,773,817,209
  5. Step 5: Solve for x
    x = 10,773,817,209/65,445
  6. Step 6: Final answer
    x = 164,623.99

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.