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Finding the Third Proportional to 130,048 and 190,140

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Solution

The third proportional to 130,048 and 190,140 is: 277,999.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,048 : 190,140 = 190,140 : x
  2. Step 2: Convert to fraction form
    130,048/190,140 = 190,140/x
  3. Step 3: Cross multiply
    130,048x = 190,140 × 190,140
  4. Step 4: Simplify right side
    130,048x = 36,153,219,600
  5. Step 5: Solve for x
    x = 36,153,219,600/130,048
  6. Step 6: Final answer
    x = 277,999.04

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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.