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Finding the Third Proportional to 56,894 and 89,373

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Solution

The third proportional to 56,894 and 89,373 is: 140,393.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,894 : 89,373 = 89,373 : x
  2. Step 2: Convert to fraction form
    56,894/89,373 = 89,373/x
  3. Step 3: Cross multiply
    56,894x = 89,373 × 89,373
  4. Step 4: Simplify right side
    56,894x = 7,987,533,129
  5. Step 5: Solve for x
    x = 7,987,533,129/56,894
  6. Step 6: Final answer
    x = 140,393.24

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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.