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Finding the Third Proportional to 125,752 and 269,500

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Solution

The third proportional to 125,752 and 269,500 is: 577,567.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,752 : 269,500 = 269,500 : x
  2. Step 2: Convert to fraction form
    125,752/269,500 = 269,500/x
  3. Step 3: Cross multiply
    125,752x = 269,500 × 269,500
  4. Step 4: Simplify right side
    125,752x = 72,630,250,000
  5. Step 5: Solve for x
    x = 72,630,250,000/125,752
  6. Step 6: Final answer
    x = 577,567.35

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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.