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Finding the Third Proportional to 71,897.63 and 108,848.81

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Solution

The third proportional to 71,897.63 and 108,848.81 is: 164,790.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,897.63 : 108,848.81 = 108,848.81 : x
  2. Step 2: Convert to fraction form
    71,897.63/108,848.81 = 108,848.81/x
  3. Step 3: Cross multiply
    71,897.63x = 108,848.81 × 108,848.81
  4. Step 4: Simplify right side
    71,897.63x = 11,848,063,982.66
  5. Step 5: Solve for x
    x = 11,848,063,982.66/71,897.63
  6. Step 6: Final answer
    x = 164,790.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.