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Finding the Third Proportional to 66,641 and 145,309

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Solution

The third proportional to 66,641 and 145,309 is: 316,842.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,641 : 145,309 = 145,309 : x
  2. Step 2: Convert to fraction form
    66,641/145,309 = 145,309/x
  3. Step 3: Cross multiply
    66,641x = 145,309 × 145,309
  4. Step 4: Simplify right side
    66,641x = 21,114,705,481
  5. Step 5: Solve for x
    x = 21,114,705,481/66,641
  6. Step 6: Final answer
    x = 316,842.57

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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.