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Finding the Third Proportional to 73,054.50 and 175,513.50

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Solution

The third proportional to 73,054.50 and 175,513.50 is: 421,671.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,054.50 : 175,513.50 = 175,513.50 : x
  2. Step 2: Convert to fraction form
    73,054.50/175,513.50 = 175,513.50/x
  3. Step 3: Cross multiply
    73,054.50x = 175,513.50 × 175,513.50
  4. Step 4: Simplify right side
    73,054.50x = 30,804,988,682.25
  5. Step 5: Solve for x
    x = 30,804,988,682.25/73,054.50
  6. Step 6: Final answer
    x = 421,671.34

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These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.