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Finding the Third Proportional to 63,095.50 and 128,045

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Solution

The third proportional to 63,095.50 and 128,045 is: 259,852.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,095.50 : 128,045 = 128,045 : x
  2. Step 2: Convert to fraction form
    63,095.50/128,045 = 128,045/x
  3. Step 3: Cross multiply
    63,095.50x = 128,045 × 128,045
  4. Step 4: Simplify right side
    63,095.50x = 16,395,522,025
  5. Step 5: Solve for x
    x = 16,395,522,025/63,095.50
  6. Step 6: Final answer
    x = 259,852.48

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.