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Finding the Third Proportional to 133,582.50 and 191,349

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Solution

The third proportional to 133,582.50 and 191,349 is: 274,096.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,582.50 : 191,349 = 191,349 : x
  2. Step 2: Convert to fraction form
    133,582.50/191,349 = 191,349/x
  3. Step 3: Cross multiply
    133,582.50x = 191,349 × 191,349
  4. Step 4: Simplify right side
    133,582.50x = 36,614,439,801
  5. Step 5: Solve for x
    x = 36,614,439,801/133,582.50
  6. Step 6: Final answer
    x = 274,096.08

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.