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Finding the Third Proportional to 48,575 and 99,499

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Solution

The third proportional to 48,575 and 99,499 is: 203,809.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,575 : 99,499 = 99,499 : x
  2. Step 2: Convert to fraction form
    48,575/99,499 = 99,499/x
  3. Step 3: Cross multiply
    48,575x = 99,499 × 99,499
  4. Step 4: Simplify right side
    48,575x = 9,900,051,001
  5. Step 5: Solve for x
    x = 9,900,051,001/48,575
  6. Step 6: Final answer
    x = 203,809.59

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.