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Finding the Third Proportional to 54,187 and 130,532

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Solution

The third proportional to 54,187 and 130,532 is: 314,440.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,187 : 130,532 = 130,532 : x
  2. Step 2: Convert to fraction form
    54,187/130,532 = 130,532/x
  3. Step 3: Cross multiply
    54,187x = 130,532 × 130,532
  4. Step 4: Simplify right side
    54,187x = 17,038,603,024
  5. Step 5: Solve for x
    x = 17,038,603,024/54,187
  6. Step 6: Final answer
    x = 314,440.79

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.