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Finding the Third Proportional to 66,682 and 144,663.50

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Solution

The third proportional to 66,682 and 144,663.50 is: 313,840.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,682 : 144,663.50 = 144,663.50 : x
  2. Step 2: Convert to fraction form
    66,682/144,663.50 = 144,663.50/x
  3. Step 3: Cross multiply
    66,682x = 144,663.50 × 144,663.50
  4. Step 4: Simplify right side
    66,682x = 20,927,528,232.25
  5. Step 5: Solve for x
    x = 20,927,528,232.25/66,682
  6. Step 6: Final answer
    x = 313,840.74

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.