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Finding the Third Proportional to 66,354 and 145,124

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Solution

The third proportional to 66,354 and 145,124 is: 317,403.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,354 : 145,124 = 145,124 : x
  2. Step 2: Convert to fraction form
    66,354/145,124 = 145,124/x
  3. Step 3: Cross multiply
    66,354x = 145,124 × 145,124
  4. Step 4: Simplify right side
    66,354x = 21,060,975,376
  5. Step 5: Solve for x
    x = 21,060,975,376/66,354
  6. Step 6: Final answer
    x = 317,403.25

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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.