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Finding the Third Proportional to 128,372.63 and 201,371.63

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Solution

The third proportional to 128,372.63 and 201,371.63 is: 315,881.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,372.63 : 201,371.63 = 201,371.63 : x
  2. Step 2: Convert to fraction form
    128,372.63/201,371.63 = 201,371.63/x
  3. Step 3: Cross multiply
    128,372.63x = 201,371.63 × 201,371.63
  4. Step 4: Simplify right side
    128,372.63x = 40,550,531,355.14
  5. Step 5: Solve for x
    x = 40,550,531,355.14/128,372.63
  6. Step 6: Final answer
    x = 315,881.45

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.