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Finding the Third Proportional to 86,157 and 128,719.13

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Solution

The third proportional to 86,157 and 128,719.13 is: 192,307.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,157 : 128,719.13 = 128,719.13 : x
  2. Step 2: Convert to fraction form
    86,157/128,719.13 = 128,719.13/x
  3. Step 3: Cross multiply
    86,157x = 128,719.13 × 128,719.13
  4. Step 4: Simplify right side
    86,157x = 16,568,613,140.77
  5. Step 5: Solve for x
    x = 16,568,613,140.77/86,157
  6. Step 6: Final answer
    x = 192,307.22

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.