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Finding the Third Proportional to 92,805.75 and 138,965.63

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Solution

The third proportional to 92,805.75 and 138,965.63 is: 208,084.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,805.75 : 138,965.63 = 138,965.63 : x
  2. Step 2: Convert to fraction form
    92,805.75/138,965.63 = 138,965.63/x
  3. Step 3: Cross multiply
    92,805.75x = 138,965.63 × 138,965.63
  4. Step 4: Simplify right side
    92,805.75x = 19,311,444,931.64
  5. Step 5: Solve for x
    x = 19,311,444,931.64/92,805.75
  6. Step 6: Final answer
    x = 208,084.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.