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Finding the Third Proportional to 63,484 and 136,525

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Solution

The third proportional to 63,484 and 136,525 is: 293,602.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,484 : 136,525 = 136,525 : x
  2. Step 2: Convert to fraction form
    63,484/136,525 = 136,525/x
  3. Step 3: Cross multiply
    63,484x = 136,525 × 136,525
  4. Step 4: Simplify right side
    63,484x = 18,639,075,625
  5. Step 5: Solve for x
    x = 18,639,075,625/63,484
  6. Step 6: Final answer
    x = 293,602.73

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.