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Finding the Third Proportional to 65,242 and 125,300

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Solution

The third proportional to 65,242 and 125,300 is: 240,643.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,242 : 125,300 = 125,300 : x
  2. Step 2: Convert to fraction form
    65,242/125,300 = 125,300/x
  3. Step 3: Cross multiply
    65,242x = 125,300 × 125,300
  4. Step 4: Simplify right side
    65,242x = 15,700,090,000
  5. Step 5: Solve for x
    x = 15,700,090,000/65,242
  6. Step 6: Final answer
    x = 240,643.91

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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.