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Finding the Third Proportional to 60,089.25 and 139,102.50

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Solution

The third proportional to 60,089.25 and 139,102.50 is: 322,012.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,089.25 : 139,102.50 = 139,102.50 : x
  2. Step 2: Convert to fraction form
    60,089.25/139,102.50 = 139,102.50/x
  3. Step 3: Cross multiply
    60,089.25x = 139,102.50 × 139,102.50
  4. Step 4: Simplify right side
    60,089.25x = 19,349,505,506.25
  5. Step 5: Solve for x
    x = 19,349,505,506.25/60,089.25
  6. Step 6: Final answer
    x = 322,012.76

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.