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Finding the Third Proportional to 41,973.19 and 86,409.28

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Solution

The third proportional to 41,973.19 and 86,409.28 is: 177,888.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,973.19 : 86,409.28 = 86,409.28 : x
  2. Step 2: Convert to fraction form
    41,973.19/86,409.28 = 86,409.28/x
  3. Step 3: Cross multiply
    41,973.19x = 86,409.28 × 86,409.28
  4. Step 4: Simplify right side
    41,973.19x = 7,466,563,886.14
  5. Step 5: Solve for x
    x = 7,466,563,886.14/41,973.19
  6. Step 6: Final answer
    x = 177,888.89

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.