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Finding the Third Proportional to 66,496 and 142,335

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Solution

The third proportional to 66,496 and 142,335 is: 304,668.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,496 : 142,335 = 142,335 : x
  2. Step 2: Convert to fraction form
    66,496/142,335 = 142,335/x
  3. Step 3: Cross multiply
    66,496x = 142,335 × 142,335
  4. Step 4: Simplify right side
    66,496x = 20,259,252,225
  5. Step 5: Solve for x
    x = 20,259,252,225/66,496
  6. Step 6: Final answer
    x = 304,668.74

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.