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Finding the Third Proportional to 56,282 and 89,121

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Solution

The third proportional to 56,282 and 89,121 is: 141,120.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,282 : 89,121 = 89,121 : x
  2. Step 2: Convert to fraction form
    56,282/89,121 = 89,121/x
  3. Step 3: Cross multiply
    56,282x = 89,121 × 89,121
  4. Step 4: Simplify right side
    56,282x = 7,942,552,641
  5. Step 5: Solve for x
    x = 7,942,552,641/56,282
  6. Step 6: Final answer
    x = 141,120.65

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Why These Related Problems?

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