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Finding the Third Proportional to 45,730.51 and 110,153.04

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Solution

The third proportional to 45,730.51 and 110,153.04 is: 265,330.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,730.51 : 110,153.04 = 110,153.04 : x
  2. Step 2: Convert to fraction form
    45,730.51/110,153.04 = 110,153.04/x
  3. Step 3: Cross multiply
    45,730.51x = 110,153.04 × 110,153.04
  4. Step 4: Simplify right side
    45,730.51x = 12,133,692,014.70
  5. Step 5: Solve for x
    x = 12,133,692,014.70/45,730.51
  6. Step 6: Final answer
    x = 265,330.34

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.