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Finding the Third Proportional to 130,002 and 190,080

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Solution

The third proportional to 130,002 and 190,080 is: 277,921.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,002 : 190,080 = 190,080 : x
  2. Step 2: Convert to fraction form
    130,002/190,080 = 190,080/x
  3. Step 3: Cross multiply
    130,002x = 190,080 × 190,080
  4. Step 4: Simplify right side
    130,002x = 36,130,406,400
  5. Step 5: Solve for x
    x = 36,130,406,400/130,002
  6. Step 6: Final answer
    x = 277,921.93

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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.