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Finding the Third Proportional to 65,506 and 103,894

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Solution

The third proportional to 65,506 and 103,894 is: 164,778.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,506 : 103,894 = 103,894 : x
  2. Step 2: Convert to fraction form
    65,506/103,894 = 103,894/x
  3. Step 3: Cross multiply
    65,506x = 103,894 × 103,894
  4. Step 4: Simplify right side
    65,506x = 10,793,963,236
  5. Step 5: Solve for x
    x = 10,793,963,236/65,506
  6. Step 6: Final answer
    x = 164,778.24

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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.