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Finding the Third Proportional to 66,172.50 and 144,243

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Solution

The third proportional to 66,172.50 and 144,243 is: 314,421.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,172.50 : 144,243 = 144,243 : x
  2. Step 2: Convert to fraction form
    66,172.50/144,243 = 144,243/x
  3. Step 3: Cross multiply
    66,172.50x = 144,243 × 144,243
  4. Step 4: Simplify right side
    66,172.50x = 20,806,043,049
  5. Step 5: Solve for x
    x = 20,806,043,049/66,172.50
  6. Step 6: Final answer
    x = 314,421.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.