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Finding the Third Proportional to 72,042.25 and 115,752

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Solution

The third proportional to 72,042.25 and 115,752 is: 185,981.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,042.25 : 115,752 = 115,752 : x
  2. Step 2: Convert to fraction form
    72,042.25/115,752 = 115,752/x
  3. Step 3: Cross multiply
    72,042.25x = 115,752 × 115,752
  4. Step 4: Simplify right side
    72,042.25x = 13,398,525,504
  5. Step 5: Solve for x
    x = 13,398,525,504/72,042.25
  6. Step 6: Final answer
    x = 185,981.50

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.