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Finding the Third Proportional to 71,897.63 and 107,102.25

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Solution

The third proportional to 71,897.63 and 107,102.25 is: 159,544.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,897.63 : 107,102.25 = 107,102.25 : x
  2. Step 2: Convert to fraction form
    71,897.63/107,102.25 = 107,102.25/x
  3. Step 3: Cross multiply
    71,897.63x = 107,102.25 × 107,102.25
  4. Step 4: Simplify right side
    71,897.63x = 11,470,891,955.06
  5. Step 5: Solve for x
    x = 11,470,891,955.06/71,897.63
  6. Step 6: Final answer
    x = 159,544.80

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.