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Finding the Third Proportional to 56,875 and 89,212

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Solution

The third proportional to 56,875 and 89,212 is: 139,934.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,875 : 89,212 = 89,212 : x
  2. Step 2: Convert to fraction form
    56,875/89,212 = 89,212/x
  3. Step 3: Cross multiply
    56,875x = 89,212 × 89,212
  4. Step 4: Simplify right side
    56,875x = 7,958,780,944
  5. Step 5: Solve for x
    x = 7,958,780,944/56,875
  6. Step 6: Final answer
    x = 139,934.61

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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.