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Finding the Third Proportional to 72,095 and 157,765

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Solution

The third proportional to 72,095 and 157,765 is: 345,236.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,095 : 157,765 = 157,765 : x
  2. Step 2: Convert to fraction form
    72,095/157,765 = 157,765/x
  3. Step 3: Cross multiply
    72,095x = 157,765 × 157,765
  4. Step 4: Simplify right side
    72,095x = 24,889,795,225
  5. Step 5: Solve for x
    x = 24,889,795,225/72,095
  6. Step 6: Final answer
    x = 345,236.08

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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.