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Finding the Third Proportional to 144,005.63 and 191,089.13

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Solution

The third proportional to 144,005.63 and 191,089.13 is: 253,566.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,005.63 : 191,089.13 = 191,089.13 : x
  2. Step 2: Convert to fraction form
    144,005.63/191,089.13 = 191,089.13/x
  3. Step 3: Cross multiply
    144,005.63x = 191,089.13 × 191,089.13
  4. Step 4: Simplify right side
    144,005.63x = 36,515,053,693.27
  5. Step 5: Solve for x
    x = 36,515,053,693.27/144,005.63
  6. Step 6: Final answer
    x = 253,566.86

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.