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Finding the Third Proportional to 115,973 and 254,086

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Solution

The third proportional to 115,973 and 254,086 is: 556,678.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,973 : 254,086 = 254,086 : x
  2. Step 2: Convert to fraction form
    115,973/254,086 = 254,086/x
  3. Step 3: Cross multiply
    115,973x = 254,086 × 254,086
  4. Step 4: Simplify right side
    115,973x = 64,559,695,396
  5. Step 5: Solve for x
    x = 64,559,695,396/115,973
  6. Step 6: Final answer
    x = 556,678.67

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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.