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Finding the Third Proportional to 130,050 and 190,143

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Solution

The third proportional to 130,050 and 190,143 is: 278,003.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,050 : 190,143 = 190,143 : x
  2. Step 2: Convert to fraction form
    130,050/190,143 = 190,143/x
  3. Step 3: Cross multiply
    130,050x = 190,143 × 190,143
  4. Step 4: Simplify right side
    130,050x = 36,154,360,449
  5. Step 5: Solve for x
    x = 36,154,360,449/130,050
  6. Step 6: Final answer
    x = 278,003.54

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.