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Finding the Third Proportional to 126,336 and 265,776

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Solution

The third proportional to 126,336 and 265,776 is: 559,119.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,336 : 265,776 = 265,776 : x
  2. Step 2: Convert to fraction form
    126,336/265,776 = 265,776/x
  3. Step 3: Cross multiply
    126,336x = 265,776 × 265,776
  4. Step 4: Simplify right side
    126,336x = 70,636,882,176
  5. Step 5: Solve for x
    x = 70,636,882,176/126,336
  6. Step 6: Final answer
    x = 559,119.19

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.