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Finding the Third Proportional to 70,332 and 143,265

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Solution

The third proportional to 70,332 and 143,265 is: 291,828.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,332 : 143,265 = 143,265 : x
  2. Step 2: Convert to fraction form
    70,332/143,265 = 143,265/x
  3. Step 3: Cross multiply
    70,332x = 143,265 × 143,265
  4. Step 4: Simplify right side
    70,332x = 20,524,860,225
  5. Step 5: Solve for x
    x = 20,524,860,225/70,332
  6. Step 6: Final answer
    x = 291,828.19

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.