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Finding the Third Proportional to 75,445.17 and 157,086.84

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Solution

The third proportional to 75,445.17 and 157,086.84 is: 327,075.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,445.17 : 157,086.84 = 157,086.84 : x
  2. Step 2: Convert to fraction form
    75,445.17/157,086.84 = 157,086.84/x
  3. Step 3: Cross multiply
    75,445.17x = 157,086.84 × 157,086.84
  4. Step 4: Simplify right side
    75,445.17x = 24,676,276,479.34
  5. Step 5: Solve for x
    x = 24,676,276,479.34/75,445.17
  6. Step 6: Final answer
    x = 327,075.62

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.