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Finding the Third Proportional to 118,003 and 255,681

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Solution

The third proportional to 118,003 and 255,681 is: 553,992.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,003 : 255,681 = 255,681 : x
  2. Step 2: Convert to fraction form
    118,003/255,681 = 255,681/x
  3. Step 3: Cross multiply
    118,003x = 255,681 × 255,681
  4. Step 4: Simplify right side
    118,003x = 65,372,773,761
  5. Step 5: Solve for x
    x = 65,372,773,761/118,003
  6. Step 6: Final answer
    x = 553,992.47

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.