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Finding the Third Proportional to 55,702.56 and 115,994.88

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Solution

The third proportional to 55,702.56 and 115,994.88 is: 241,547.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,702.56 : 115,994.88 = 115,994.88 : x
  2. Step 2: Convert to fraction form
    55,702.56/115,994.88 = 115,994.88/x
  3. Step 3: Cross multiply
    55,702.56x = 115,994.88 × 115,994.88
  4. Step 4: Simplify right side
    55,702.56x = 13,454,811,026.27
  5. Step 5: Solve for x
    x = 13,454,811,026.27/55,702.56
  6. Step 6: Final answer
    x = 241,547.43

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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.