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Finding the Third Proportional to 66,522 and 147,804

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Solution

The third proportional to 66,522 and 147,804 is: 328,402.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,522 : 147,804 = 147,804 : x
  2. Step 2: Convert to fraction form
    66,522/147,804 = 147,804/x
  3. Step 3: Cross multiply
    66,522x = 147,804 × 147,804
  4. Step 4: Simplify right side
    66,522x = 21,846,022,416
  5. Step 5: Solve for x
    x = 21,846,022,416/66,522
  6. Step 6: Final answer
    x = 328,402.97

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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.