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Finding the Third Proportional to 71,696.25 and 105,008.63

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Solution

The third proportional to 71,696.25 and 105,008.63 is: 153,799.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,696.25 : 105,008.63 = 105,008.63 : x
  2. Step 2: Convert to fraction form
    71,696.25/105,008.63 = 105,008.63/x
  3. Step 3: Cross multiply
    71,696.25x = 105,008.63 × 105,008.63
  4. Step 4: Simplify right side
    71,696.25x = 11,026,811,324.39
  5. Step 5: Solve for x
    x = 11,026,811,324.39/71,696.25
  6. Step 6: Final answer
    x = 153,799.00

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.