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Finding the Third Proportional to 106,305 and 164,497.50

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Solution

The third proportional to 106,305 and 164,497.50 is: 254,545.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,305 : 164,497.50 = 164,497.50 : x
  2. Step 2: Convert to fraction form
    106,305/164,497.50 = 164,497.50/x
  3. Step 3: Cross multiply
    106,305x = 164,497.50 × 164,497.50
  4. Step 4: Simplify right side
    106,305x = 27,059,427,506.25
  5. Step 5: Solve for x
    x = 27,059,427,506.25/106,305
  6. Step 6: Final answer
    x = 254,545.20

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.