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Finding the Third Proportional to 72,410 and 159,554

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Solution

The third proportional to 72,410 and 159,554 is: 351,574.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,410 : 159,554 = 159,554 : x
  2. Step 2: Convert to fraction form
    72,410/159,554 = 159,554/x
  3. Step 3: Cross multiply
    72,410x = 159,554 × 159,554
  4. Step 4: Simplify right side
    72,410x = 25,457,478,916
  5. Step 5: Solve for x
    x = 25,457,478,916/72,410
  6. Step 6: Final answer
    x = 351,574.08

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.