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Finding the Third Proportional to 125,700 and 264,326

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Solution

The third proportional to 125,700 and 264,326 is: 555,833.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,700 : 264,326 = 264,326 : x
  2. Step 2: Convert to fraction form
    125,700/264,326 = 264,326/x
  3. Step 3: Cross multiply
    125,700x = 264,326 × 264,326
  4. Step 4: Simplify right side
    125,700x = 69,868,234,276
  5. Step 5: Solve for x
    x = 69,868,234,276/125,700
  6. Step 6: Final answer
    x = 555,833.21

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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.