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Finding the Third Proportional to 66,340 and 145,280

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Solution

The third proportional to 66,340 and 145,280 is: 318,153.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,340 : 145,280 = 145,280 : x
  2. Step 2: Convert to fraction form
    66,340/145,280 = 145,280/x
  3. Step 3: Cross multiply
    66,340x = 145,280 × 145,280
  4. Step 4: Simplify right side
    66,340x = 21,106,278,400
  5. Step 5: Solve for x
    x = 21,106,278,400/66,340
  6. Step 6: Final answer
    x = 318,153.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.