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Finding the Third Proportional to 59,234 and 89,556.50

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Solution

The third proportional to 59,234 and 89,556.50 is: 135,401.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,234 : 89,556.50 = 89,556.50 : x
  2. Step 2: Convert to fraction form
    59,234/89,556.50 = 89,556.50/x
  3. Step 3: Cross multiply
    59,234x = 89,556.50 × 89,556.50
  4. Step 4: Simplify right side
    59,234x = 8,020,366,692.25
  5. Step 5: Solve for x
    x = 8,020,366,692.25/59,234
  6. Step 6: Final answer
    x = 135,401.40

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.