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Finding the Third Proportional to 60,577.88 and 86,143.50

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Solution

The third proportional to 60,577.88 and 86,143.50 is: 122,498.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,577.88 : 86,143.50 = 86,143.50 : x
  2. Step 2: Convert to fraction form
    60,577.88/86,143.50 = 86,143.50/x
  3. Step 3: Cross multiply
    60,577.88x = 86,143.50 × 86,143.50
  4. Step 4: Simplify right side
    60,577.88x = 7,420,702,592.25
  5. Step 5: Solve for x
    x = 7,420,702,592.25/60,577.88
  6. Step 6: Final answer
    x = 122,498.56

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.