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Finding the Third Proportional to 75,000.94 and 109,539.84

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Solution

The third proportional to 75,000.94 and 109,539.84 is: 159,984.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,000.94 : 109,539.84 = 109,539.84 : x
  2. Step 2: Convert to fraction form
    75,000.94/109,539.84 = 109,539.84/x
  3. Step 3: Cross multiply
    75,000.94x = 109,539.84 × 109,539.84
  4. Step 4: Simplify right side
    75,000.94x = 11,998,977,368.77
  5. Step 5: Solve for x
    x = 11,998,977,368.77/75,000.94
  6. Step 6: Final answer
    x = 159,984.37

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.