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Finding the Third Proportional to 45,506 and 68,895

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Solution

The third proportional to 45,506 and 68,895 is: 104,305.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,506 : 68,895 = 68,895 : x
  2. Step 2: Convert to fraction form
    45,506/68,895 = 68,895/x
  3. Step 3: Cross multiply
    45,506x = 68,895 × 68,895
  4. Step 4: Simplify right side
    45,506x = 4,746,521,025
  5. Step 5: Solve for x
    x = 4,746,521,025/45,506
  6. Step 6: Final answer
    x = 104,305.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.