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Finding the Third Proportional to 56,842 and 89,168

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Solution

The third proportional to 56,842 and 89,168 is: 139,877.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,842 : 89,168 = 89,168 : x
  2. Step 2: Convert to fraction form
    56,842/89,168 = 89,168/x
  3. Step 3: Cross multiply
    56,842x = 89,168 × 89,168
  4. Step 4: Simplify right side
    56,842x = 7,950,932,224
  5. Step 5: Solve for x
    x = 7,950,932,224/56,842
  6. Step 6: Final answer
    x = 139,877.77

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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.