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Finding the Third Proportional to 75,061.50 and 139,050

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Solution

The third proportional to 75,061.50 and 139,050 is: 257,587.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,061.50 : 139,050 = 139,050 : x
  2. Step 2: Convert to fraction form
    75,061.50/139,050 = 139,050/x
  3. Step 3: Cross multiply
    75,061.50x = 139,050 × 139,050
  4. Step 4: Simplify right side
    75,061.50x = 19,334,902,500
  5. Step 5: Solve for x
    x = 19,334,902,500/75,061.50
  6. Step 6: Final answer
    x = 257,587.48

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These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.