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Finding the Third Proportional to 65,254 and 125,323

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Solution

The third proportional to 65,254 and 125,323 is: 240,687.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,254 : 125,323 = 125,323 : x
  2. Step 2: Convert to fraction form
    65,254/125,323 = 125,323/x
  3. Step 3: Cross multiply
    65,254x = 125,323 × 125,323
  4. Step 4: Simplify right side
    65,254x = 15,705,854,329
  5. Step 5: Solve for x
    x = 15,705,854,329/65,254
  6. Step 6: Final answer
    x = 240,687.99

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.