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Finding the Third Proportional to 59,271 and 139,912.50

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Solution

The third proportional to 59,271 and 139,912.50 is: 330,271.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,271 : 139,912.50 = 139,912.50 : x
  2. Step 2: Convert to fraction form
    59,271/139,912.50 = 139,912.50/x
  3. Step 3: Cross multiply
    59,271x = 139,912.50 × 139,912.50
  4. Step 4: Simplify right side
    59,271x = 19,575,507,656.25
  5. Step 5: Solve for x
    x = 19,575,507,656.25/59,271
  6. Step 6: Final answer
    x = 330,271.26

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.