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Finding the Third Proportional to 60,411 and 140,454

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Solution

The third proportional to 60,411 and 140,454 is: 326,551.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,411 : 140,454 = 140,454 : x
  2. Step 2: Convert to fraction form
    60,411/140,454 = 140,454/x
  3. Step 3: Cross multiply
    60,411x = 140,454 × 140,454
  4. Step 4: Simplify right side
    60,411x = 19,727,326,116
  5. Step 5: Solve for x
    x = 19,727,326,116/60,411
  6. Step 6: Final answer
    x = 326,551.89

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.