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Finding the Third Proportional to 72,802.88 and 159,075.75

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Solution

The third proportional to 72,802.88 and 159,075.75 is: 347,583.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,802.88 : 159,075.75 = 159,075.75 : x
  2. Step 2: Convert to fraction form
    72,802.88/159,075.75 = 159,075.75/x
  3. Step 3: Cross multiply
    72,802.88x = 159,075.75 × 159,075.75
  4. Step 4: Simplify right side
    72,802.88x = 25,305,094,238.06
  5. Step 5: Solve for x
    x = 25,305,094,238.06/72,802.88
  6. Step 6: Final answer
    x = 347,583.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.