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Finding the Third Proportional to 130,968 and 197,541

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Solution

The third proportional to 130,968 and 197,541 is: 297,954.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,968 : 197,541 = 197,541 : x
  2. Step 2: Convert to fraction form
    130,968/197,541 = 197,541/x
  3. Step 3: Cross multiply
    130,968x = 197,541 × 197,541
  4. Step 4: Simplify right side
    130,968x = 39,022,446,681
  5. Step 5: Solve for x
    x = 39,022,446,681/130,968
  6. Step 6: Final answer
    x = 297,954.06

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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.