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Finding the Third Proportional to 65,799 and 94,095.75

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Solution

The third proportional to 65,799 and 94,095.75 is: 134,561.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,799 : 94,095.75 = 94,095.75 : x
  2. Step 2: Convert to fraction form
    65,799/94,095.75 = 94,095.75/x
  3. Step 3: Cross multiply
    65,799x = 94,095.75 × 94,095.75
  4. Step 4: Simplify right side
    65,799x = 8,854,010,168.06
  5. Step 5: Solve for x
    x = 8,854,010,168.06/65,799
  6. Step 6: Final answer
    x = 134,561.47

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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.