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Finding the Third Proportional to 66,199 and 92,602

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Solution

The third proportional to 66,199 and 92,602 is: 129,535.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,199 : 92,602 = 92,602 : x
  2. Step 2: Convert to fraction form
    66,199/92,602 = 92,602/x
  3. Step 3: Cross multiply
    66,199x = 92,602 × 92,602
  4. Step 4: Simplify right side
    66,199x = 8,575,130,404
  5. Step 5: Solve for x
    x = 8,575,130,404/66,199
  6. Step 6: Final answer
    x = 129,535.65

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.