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Finding the Third Proportional to 32,090 and 77,307

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Solution

The third proportional to 32,090 and 77,307 is: 186,237.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,090 : 77,307 = 77,307 : x
  2. Step 2: Convert to fraction form
    32,090/77,307 = 77,307/x
  3. Step 3: Cross multiply
    32,090x = 77,307 × 77,307
  4. Step 4: Simplify right side
    32,090x = 5,976,372,249
  5. Step 5: Solve for x
    x = 5,976,372,249/32,090
  6. Step 6: Final answer
    x = 186,237.84

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.