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Finding the Third Proportional to 55,852 and 119,587

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Solution

The third proportional to 55,852 and 119,587 is: 256,052.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,852 : 119,587 = 119,587 : x
  2. Step 2: Convert to fraction form
    55,852/119,587 = 119,587/x
  3. Step 3: Cross multiply
    55,852x = 119,587 × 119,587
  4. Step 4: Simplify right side
    55,852x = 14,301,050,569
  5. Step 5: Solve for x
    x = 14,301,050,569/55,852
  6. Step 6: Final answer
    x = 256,052.61

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.