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Finding the Third Proportional to 66,454 and 143,343

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Solution

The third proportional to 66,454 and 143,343 is: 309,194.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,454 : 143,343 = 143,343 : x
  2. Step 2: Convert to fraction form
    66,454/143,343 = 143,343/x
  3. Step 3: Cross multiply
    66,454x = 143,343 × 143,343
  4. Step 4: Simplify right side
    66,454x = 20,547,215,649
  5. Step 5: Solve for x
    x = 20,547,215,649/66,454
  6. Step 6: Final answer
    x = 309,194.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.