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Finding the Third Proportional to 56,148.19 and 122,001.19

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Solution

The third proportional to 56,148.19 and 122,001.19 is: 265,089.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,148.19 : 122,001.19 = 122,001.19 : x
  2. Step 2: Convert to fraction form
    56,148.19/122,001.19 = 122,001.19/x
  3. Step 3: Cross multiply
    56,148.19x = 122,001.19 × 122,001.19
  4. Step 4: Simplify right side
    56,148.19x = 14,884,289,751.41
  5. Step 5: Solve for x
    x = 14,884,289,751.41/56,148.19
  6. Step 6: Final answer
    x = 265,089.41

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.