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Finding the Third Proportional to 100,461 and 136,440

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Solution

The third proportional to 100,461 and 136,440 is: 185,304.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,461 : 136,440 = 136,440 : x
  2. Step 2: Convert to fraction form
    100,461/136,440 = 136,440/x
  3. Step 3: Cross multiply
    100,461x = 136,440 × 136,440
  4. Step 4: Simplify right side
    100,461x = 18,615,873,600
  5. Step 5: Solve for x
    x = 18,615,873,600/100,461
  6. Step 6: Final answer
    x = 185,304.48

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.