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Finding the Third Proportional to 75,984.75 and 114,017.63

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Solution

The third proportional to 75,984.75 and 114,017.63 is: 171,087.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,984.75 : 114,017.63 = 114,017.63 : x
  2. Step 2: Convert to fraction form
    75,984.75/114,017.63 = 114,017.63/x
  3. Step 3: Cross multiply
    75,984.75x = 114,017.63 × 114,017.63
  4. Step 4: Simplify right side
    75,984.75x = 13,000,018,810.64
  5. Step 5: Solve for x
    x = 13,000,018,810.64/75,984.75
  6. Step 6: Final answer
    x = 171,087.21

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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.