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Finding the Third Proportional to 48,701 and 106,335

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Solution

The third proportional to 48,701 and 106,335 is: 232,174.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,701 : 106,335 = 106,335 : x
  2. Step 2: Convert to fraction form
    48,701/106,335 = 106,335/x
  3. Step 3: Cross multiply
    48,701x = 106,335 × 106,335
  4. Step 4: Simplify right side
    48,701x = 11,307,132,225
  5. Step 5: Solve for x
    x = 11,307,132,225/48,701
  6. Step 6: Final answer
    x = 232,174.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.