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Finding the Third Proportional to 45,429 and 106,113.75

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Solution

The third proportional to 45,429 and 106,113.75 is: 247,862.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,429 : 106,113.75 = 106,113.75 : x
  2. Step 2: Convert to fraction form
    45,429/106,113.75 = 106,113.75/x
  3. Step 3: Cross multiply
    45,429x = 106,113.75 × 106,113.75
  4. Step 4: Simplify right side
    45,429x = 11,260,127,939.06
  5. Step 5: Solve for x
    x = 11,260,127,939.06/45,429
  6. Step 6: Final answer
    x = 247,862.11

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.