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Finding the Third Proportional to 159,124.50 and 212,437.69

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Solution

The third proportional to 159,124.50 and 212,437.69 is: 283,612.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,124.50 : 212,437.69 = 212,437.69 : x
  2. Step 2: Convert to fraction form
    159,124.50/212,437.69 = 212,437.69/x
  3. Step 3: Cross multiply
    159,124.50x = 212,437.69 × 212,437.69
  4. Step 4: Simplify right side
    159,124.50x = 45,129,771,070.35
  5. Step 5: Solve for x
    x = 45,129,771,070.35/159,124.50
  6. Step 6: Final answer
    x = 283,612.96

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.