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Finding the Third Proportional to 55,206 and 87,453

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Solution

The third proportional to 55,206 and 87,453 is: 138,536.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,206 : 87,453 = 87,453 : x
  2. Step 2: Convert to fraction form
    55,206/87,453 = 87,453/x
  3. Step 3: Cross multiply
    55,206x = 87,453 × 87,453
  4. Step 4: Simplify right side
    55,206x = 7,648,027,209
  5. Step 5: Solve for x
    x = 7,648,027,209/55,206
  6. Step 6: Final answer
    x = 138,536.16

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.