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Finding the Third Proportional to 56,279 and 89,117

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Solution

The third proportional to 56,279 and 89,117 is: 141,115.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,279 : 89,117 = 89,117 : x
  2. Step 2: Convert to fraction form
    56,279/89,117 = 89,117/x
  3. Step 3: Cross multiply
    56,279x = 89,117 × 89,117
  4. Step 4: Simplify right side
    56,279x = 7,941,839,689
  5. Step 5: Solve for x
    x = 7,941,839,689/56,279
  6. Step 6: Final answer
    x = 141,115.51

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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.