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Finding the Third Proportional to 75,411 and 160,461

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Solution

The third proportional to 75,411 and 160,461 is: 341,432.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,411 : 160,461 = 160,461 : x
  2. Step 2: Convert to fraction form
    75,411/160,461 = 160,461/x
  3. Step 3: Cross multiply
    75,411x = 160,461 × 160,461
  4. Step 4: Simplify right side
    75,411x = 25,747,732,521
  5. Step 5: Solve for x
    x = 25,747,732,521/75,411
  6. Step 6: Final answer
    x = 341,432.05

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.