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Finding the Third Proportional to 78,037 and 116,842

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Solution

The third proportional to 78,037 and 116,842 is: 174,943.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,037 : 116,842 = 116,842 : x
  2. Step 2: Convert to fraction form
    78,037/116,842 = 116,842/x
  3. Step 3: Cross multiply
    78,037x = 116,842 × 116,842
  4. Step 4: Simplify right side
    78,037x = 13,652,052,964
  5. Step 5: Solve for x
    x = 13,652,052,964/78,037
  6. Step 6: Final answer
    x = 174,943.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.