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Finding the Third Proportional to 155,603 and 176,987

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Solution

The third proportional to 155,603 and 176,987 is: 201,309.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,603 : 176,987 = 176,987 : x
  2. Step 2: Convert to fraction form
    155,603/176,987 = 176,987/x
  3. Step 3: Cross multiply
    155,603x = 176,987 × 176,987
  4. Step 4: Simplify right side
    155,603x = 31,324,398,169
  5. Step 5: Solve for x
    x = 31,324,398,169/155,603
  6. Step 6: Final answer
    x = 201,309.73

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.