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Finding the Third Proportional to 66,605 and 103,520

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Solution

The third proportional to 66,605 and 103,520 is: 160,894.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,605 : 103,520 = 103,520 : x
  2. Step 2: Convert to fraction form
    66,605/103,520 = 103,520/x
  3. Step 3: Cross multiply
    66,605x = 103,520 × 103,520
  4. Step 4: Simplify right side
    66,605x = 10,716,390,400
  5. Step 5: Solve for x
    x = 10,716,390,400/66,605
  6. Step 6: Final answer
    x = 160,894.68

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.