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Finding the Third Proportional to 86,563.69 and 130,415.06

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Solution

The third proportional to 86,563.69 and 130,415.06 is: 196,480.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,563.69 : 130,415.06 = 130,415.06 : x
  2. Step 2: Convert to fraction form
    86,563.69/130,415.06 = 130,415.06/x
  3. Step 3: Cross multiply
    86,563.69x = 130,415.06 × 130,415.06
  4. Step 4: Simplify right side
    86,563.69x = 17,008,088,526.88
  5. Step 5: Solve for x
    x = 17,008,088,526.88/86,563.69
  6. Step 6: Final answer
    x = 196,480.64

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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.