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Finding the Third Proportional to 48,464 and 106,262

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Solution

The third proportional to 48,464 and 106,262 is: 232,989.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,464 : 106,262 = 106,262 : x
  2. Step 2: Convert to fraction form
    48,464/106,262 = 106,262/x
  3. Step 3: Cross multiply
    48,464x = 106,262 × 106,262
  4. Step 4: Simplify right side
    48,464x = 11,291,612,644
  5. Step 5: Solve for x
    x = 11,291,612,644/48,464
  6. Step 6: Final answer
    x = 232,989.70

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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.