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Finding the Third Proportional to 56,373 and 89,197

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Solution

The third proportional to 56,373 and 89,197 is: 141,133.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,373 : 89,197 = 89,197 : x
  2. Step 2: Convert to fraction form
    56,373/89,197 = 89,197/x
  3. Step 3: Cross multiply
    56,373x = 89,197 × 89,197
  4. Step 4: Simplify right side
    56,373x = 7,956,104,809
  5. Step 5: Solve for x
    x = 7,956,104,809/56,373
  6. Step 6: Final answer
    x = 141,133.25

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.