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Finding the Third Proportional to 86,652 and 115,903.50

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Solution

The third proportional to 86,652 and 115,903.50 is: 155,029.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,652 : 115,903.50 = 115,903.50 : x
  2. Step 2: Convert to fraction form
    86,652/115,903.50 = 115,903.50/x
  3. Step 3: Cross multiply
    86,652x = 115,903.50 × 115,903.50
  4. Step 4: Simplify right side
    86,652x = 13,433,621,312.25
  5. Step 5: Solve for x
    x = 13,433,621,312.25/86,652
  6. Step 6: Final answer
    x = 155,029.56

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.