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Finding the Third Proportional to 48,575 and 105,214

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Solution

The third proportional to 48,575 and 105,214 is: 227,894.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,575 : 105,214 = 105,214 : x
  2. Step 2: Convert to fraction form
    48,575/105,214 = 105,214/x
  3. Step 3: Cross multiply
    48,575x = 105,214 × 105,214
  4. Step 4: Simplify right side
    48,575x = 11,069,985,796
  5. Step 5: Solve for x
    x = 11,069,985,796/48,575
  6. Step 6: Final answer
    x = 227,894.72

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.