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Finding the Third Proportional to 55,989.50 and 86,703

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Solution

The third proportional to 55,989.50 and 86,703 is: 134,264.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,989.50 : 86,703 = 86,703 : x
  2. Step 2: Convert to fraction form
    55,989.50/86,703 = 86,703/x
  3. Step 3: Cross multiply
    55,989.50x = 86,703 × 86,703
  4. Step 4: Simplify right side
    55,989.50x = 7,517,410,209
  5. Step 5: Solve for x
    x = 7,517,410,209/55,989.50
  6. Step 6: Final answer
    x = 134,264.64

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.