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Finding the Third Proportional to 60,526 and 92,069

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Solution

The third proportional to 60,526 and 92,069 is: 140,050.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,526 : 92,069 = 92,069 : x
  2. Step 2: Convert to fraction form
    60,526/92,069 = 92,069/x
  3. Step 3: Cross multiply
    60,526x = 92,069 × 92,069
  4. Step 4: Simplify right side
    60,526x = 8,476,700,761
  5. Step 5: Solve for x
    x = 8,476,700,761/60,526
  6. Step 6: Final answer
    x = 140,050.57

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.