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Finding the Third Proportional to 87,742 and 141,303

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Solution

The third proportional to 87,742 and 141,303 is: 227,559.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,742 : 141,303 = 141,303 : x
  2. Step 2: Convert to fraction form
    87,742/141,303 = 141,303/x
  3. Step 3: Cross multiply
    87,742x = 141,303 × 141,303
  4. Step 4: Simplify right side
    87,742x = 19,966,537,809
  5. Step 5: Solve for x
    x = 19,966,537,809/87,742
  6. Step 6: Final answer
    x = 227,559.64

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.