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Finding the Third Proportional to 48,070 and 105,188

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Solution

The third proportional to 48,070 and 105,188 is: 230,175.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,070 : 105,188 = 105,188 : x
  2. Step 2: Convert to fraction form
    48,070/105,188 = 105,188/x
  3. Step 3: Cross multiply
    48,070x = 105,188 × 105,188
  4. Step 4: Simplify right side
    48,070x = 11,064,515,344
  5. Step 5: Solve for x
    x = 11,064,515,344/48,070
  6. Step 6: Final answer
    x = 230,175.06

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.