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Finding the Third Proportional to 73,920 and 115,802.50

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Solution

The third proportional to 73,920 and 115,802.50 is: 181,415.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,920 : 115,802.50 = 115,802.50 : x
  2. Step 2: Convert to fraction form
    73,920/115,802.50 = 115,802.50/x
  3. Step 3: Cross multiply
    73,920x = 115,802.50 × 115,802.50
  4. Step 4: Simplify right side
    73,920x = 13,410,219,006.25
  5. Step 5: Solve for x
    x = 13,410,219,006.25/73,920
  6. Step 6: Final answer
    x = 181,415.30

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.