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Finding the Third Proportional to 55,202 and 87,554

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Solution

The third proportional to 55,202 and 87,554 is: 138,866.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,202 : 87,554 = 87,554 : x
  2. Step 2: Convert to fraction form
    55,202/87,554 = 87,554/x
  3. Step 3: Cross multiply
    55,202x = 87,554 × 87,554
  4. Step 4: Simplify right side
    55,202x = 7,665,702,916
  5. Step 5: Solve for x
    x = 7,665,702,916/55,202
  6. Step 6: Final answer
    x = 138,866.40

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.