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Finding the Third Proportional to 75,328.88 and 102,190.50

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Solution

The third proportional to 75,328.88 and 102,190.50 is: 138,630.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,328.88 : 102,190.50 = 102,190.50 : x
  2. Step 2: Convert to fraction form
    75,328.88/102,190.50 = 102,190.50/x
  3. Step 3: Cross multiply
    75,328.88x = 102,190.50 × 102,190.50
  4. Step 4: Simplify right side
    75,328.88x = 10,442,898,290.25
  5. Step 5: Solve for x
    x = 10,442,898,290.25/75,328.88
  6. Step 6: Final answer
    x = 138,630.75

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.