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Finding the Third Proportional to 68,111 and 148,483

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Solution

The third proportional to 68,111 and 148,483 is: 323,695.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,111 : 148,483 = 148,483 : x
  2. Step 2: Convert to fraction form
    68,111/148,483 = 148,483/x
  3. Step 3: Cross multiply
    68,111x = 148,483 × 148,483
  4. Step 4: Simplify right side
    68,111x = 22,047,201,289
  5. Step 5: Solve for x
    x = 22,047,201,289/68,111
  6. Step 6: Final answer
    x = 323,695.16

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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.