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Finding the Third Proportional to 56,870 and 89,010

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Solution

The third proportional to 56,870 and 89,010 is: 139,313.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,870 : 89,010 = 89,010 : x
  2. Step 2: Convert to fraction form
    56,870/89,010 = 89,010/x
  3. Step 3: Cross multiply
    56,870x = 89,010 × 89,010
  4. Step 4: Simplify right side
    56,870x = 7,922,780,100
  5. Step 5: Solve for x
    x = 7,922,780,100/56,870
  6. Step 6: Final answer
    x = 139,313.88

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.