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Finding the Third Proportional to 59,751 and 130,986

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Solution

The third proportional to 59,751 and 130,986 is: 287,147.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,751 : 130,986 = 130,986 : x
  2. Step 2: Convert to fraction form
    59,751/130,986 = 130,986/x
  3. Step 3: Cross multiply
    59,751x = 130,986 × 130,986
  4. Step 4: Simplify right side
    59,751x = 17,157,332,196
  5. Step 5: Solve for x
    x = 17,157,332,196/59,751
  6. Step 6: Final answer
    x = 287,147.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.