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Finding the Third Proportional to 130,023 and 193,050

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Solution

The third proportional to 130,023 and 193,050 is: 286,628.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,023 : 193,050 = 193,050 : x
  2. Step 2: Convert to fraction form
    130,023/193,050 = 193,050/x
  3. Step 3: Cross multiply
    130,023x = 193,050 × 193,050
  4. Step 4: Simplify right side
    130,023x = 37,268,302,500
  5. Step 5: Solve for x
    x = 37,268,302,500/130,023
  6. Step 6: Final answer
    x = 286,628.54

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.