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Finding the Third Proportional to 55,702.50 and 128,254.50

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Solution

The third proportional to 55,702.50 and 128,254.50 is: 295,304.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,702.50 : 128,254.50 = 128,254.50 : x
  2. Step 2: Convert to fraction form
    55,702.50/128,254.50 = 128,254.50/x
  3. Step 3: Cross multiply
    55,702.50x = 128,254.50 × 128,254.50
  4. Step 4: Simplify right side
    55,702.50x = 16,449,216,770.25
  5. Step 5: Solve for x
    x = 16,449,216,770.25/55,702.50
  6. Step 6: Final answer
    x = 295,304.82

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.