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Finding the Third Proportional to 66,496.50 and 147,753

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Solution

The third proportional to 66,496.50 and 147,753 is: 328,302.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,496.50 : 147,753 = 147,753 : x
  2. Step 2: Convert to fraction form
    66,496.50/147,753 = 147,753/x
  3. Step 3: Cross multiply
    66,496.50x = 147,753 × 147,753
  4. Step 4: Simplify right side
    66,496.50x = 21,830,949,009
  5. Step 5: Solve for x
    x = 21,830,949,009/66,496.50
  6. Step 6: Final answer
    x = 328,302.23

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.