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Finding the Third Proportional to 130,137.75 and 177,291

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Solution

The third proportional to 130,137.75 and 177,291 is: 241,529.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,137.75 : 177,291 = 177,291 : x
  2. Step 2: Convert to fraction form
    130,137.75/177,291 = 177,291/x
  3. Step 3: Cross multiply
    130,137.75x = 177,291 × 177,291
  4. Step 4: Simplify right side
    130,137.75x = 31,432,098,681
  5. Step 5: Solve for x
    x = 31,432,098,681/130,137.75
  6. Step 6: Final answer
    x = 241,529.45

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.