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Finding the Third Proportional to 86,558.25 and 130,407

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Solution

The third proportional to 86,558.25 and 130,407 is: 196,468.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,558.25 : 130,407 = 130,407 : x
  2. Step 2: Convert to fraction form
    86,558.25/130,407 = 130,407/x
  3. Step 3: Cross multiply
    86,558.25x = 130,407 × 130,407
  4. Step 4: Simplify right side
    86,558.25x = 17,005,985,649
  5. Step 5: Solve for x
    x = 17,005,985,649/86,558.25
  6. Step 6: Final answer
    x = 196,468.69

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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.