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Finding the Third Proportional to 59,049 and 127,575

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Solution

The third proportional to 59,049 and 127,575 is: 275,625

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,049 : 127,575 = 127,575 : x
  2. Step 2: Convert to fraction form
    59,049/127,575 = 127,575/x
  3. Step 3: Cross multiply
    59,049x = 127,575 × 127,575
  4. Step 4: Simplify right side
    59,049x = 16,275,380,625
  5. Step 5: Solve for x
    x = 16,275,380,625/59,049
  6. Step 6: Final answer
    x = 275,625

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.