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Finding the Third Proportional to 139,995 and 189,256.50

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Solution

The third proportional to 139,995 and 189,256.50 is: 255,852.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,995 : 189,256.50 = 189,256.50 : x
  2. Step 2: Convert to fraction form
    139,995/189,256.50 = 189,256.50/x
  3. Step 3: Cross multiply
    139,995x = 189,256.50 × 189,256.50
  4. Step 4: Simplify right side
    139,995x = 35,818,022,792.25
  5. Step 5: Solve for x
    x = 35,818,022,792.25/139,995
  6. Step 6: Final answer
    x = 255,852.16

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.