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Finding the Third Proportional to 72,497 and 153,698

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Solution

The third proportional to 72,497 and 153,698 is: 325,849.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,497 : 153,698 = 153,698 : x
  2. Step 2: Convert to fraction form
    72,497/153,698 = 153,698/x
  3. Step 3: Cross multiply
    72,497x = 153,698 × 153,698
  4. Step 4: Simplify right side
    72,497x = 23,623,075,204
  5. Step 5: Solve for x
    x = 23,623,075,204/72,497
  6. Step 6: Final answer
    x = 325,849.00

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.