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Finding the Third Proportional to 55,688 and 115,984

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Solution

The third proportional to 55,688 and 115,984 is: 241,565.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,688 : 115,984 = 115,984 : x
  2. Step 2: Convert to fraction form
    55,688/115,984 = 115,984/x
  3. Step 3: Cross multiply
    55,688x = 115,984 × 115,984
  4. Step 4: Simplify right side
    55,688x = 13,452,288,256
  5. Step 5: Solve for x
    x = 13,452,288,256/55,688
  6. Step 6: Final answer
    x = 241,565.30

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.