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Finding the Third Proportional to 130,754 and 195,955

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Solution

The third proportional to 130,754 and 195,955 is: 293,668.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,754 : 195,955 = 195,955 : x
  2. Step 2: Convert to fraction form
    130,754/195,955 = 195,955/x
  3. Step 3: Cross multiply
    130,754x = 195,955 × 195,955
  4. Step 4: Simplify right side
    130,754x = 38,398,362,025
  5. Step 5: Solve for x
    x = 38,398,362,025/130,754
  6. Step 6: Final answer
    x = 293,668.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.