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Finding the Third Proportional to 59,143 and 85,014.50

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Solution

The third proportional to 59,143 and 85,014.50 is: 122,203.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,143 : 85,014.50 = 85,014.50 : x
  2. Step 2: Convert to fraction form
    59,143/85,014.50 = 85,014.50/x
  3. Step 3: Cross multiply
    59,143x = 85,014.50 × 85,014.50
  4. Step 4: Simplify right side
    59,143x = 7,227,465,210.25
  5. Step 5: Solve for x
    x = 7,227,465,210.25/59,143
  6. Step 6: Final answer
    x = 122,203.22

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.