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Finding the Third Proportional to 130,142 and 196,854

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Solution

The third proportional to 130,142 and 196,854 is: 297,763.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,142 : 196,854 = 196,854 : x
  2. Step 2: Convert to fraction form
    130,142/196,854 = 196,854/x
  3. Step 3: Cross multiply
    130,142x = 196,854 × 196,854
  4. Step 4: Simplify right side
    130,142x = 38,751,497,316
  5. Step 5: Solve for x
    x = 38,751,497,316/130,142
  6. Step 6: Final answer
    x = 297,763.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.