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Finding the Third Proportional to 65,799 and 93,774.38

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Solution

The third proportional to 65,799 and 93,774.38 is: 133,643.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,799 : 93,774.38 = 93,774.38 : x
  2. Step 2: Convert to fraction form
    65,799/93,774.38 = 93,774.38/x
  3. Step 3: Cross multiply
    65,799x = 93,774.38 × 93,774.38
  4. Step 4: Simplify right side
    65,799x = 8,793,633,406.64
  5. Step 5: Solve for x
    x = 8,793,633,406.64/65,799
  6. Step 6: Final answer
    x = 133,643.88

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.