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Finding the Third Proportional to 76,490 and 107,525

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Solution

The third proportional to 76,490 and 107,525 is: 151,152.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,490 : 107,525 = 107,525 : x
  2. Step 2: Convert to fraction form
    76,490/107,525 = 107,525/x
  3. Step 3: Cross multiply
    76,490x = 107,525 × 107,525
  4. Step 4: Simplify right side
    76,490x = 11,561,625,625
  5. Step 5: Solve for x
    x = 11,561,625,625/76,490
  6. Step 6: Final answer
    x = 151,152.12

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.