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Finding the Third Proportional to 81,386.25 and 169,009.50

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Solution

The third proportional to 81,386.25 and 169,009.50 is: 350,970.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,386.25 : 169,009.50 = 169,009.50 : x
  2. Step 2: Convert to fraction form
    81,386.25/169,009.50 = 169,009.50/x
  3. Step 3: Cross multiply
    81,386.25x = 169,009.50 × 169,009.50
  4. Step 4: Simplify right side
    81,386.25x = 28,564,211,090.25
  5. Step 5: Solve for x
    x = 28,564,211,090.25/81,386.25
  6. Step 6: Final answer
    x = 350,970.97

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.