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Finding the Third Proportional to 72,524 and 153,748

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Solution

The third proportional to 72,524 and 153,748 is: 325,939.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,524 : 153,748 = 153,748 : x
  2. Step 2: Convert to fraction form
    72,524/153,748 = 153,748/x
  3. Step 3: Cross multiply
    72,524x = 153,748 × 153,748
  4. Step 4: Simplify right side
    72,524x = 23,638,447,504
  5. Step 5: Solve for x
    x = 23,638,447,504/72,524
  6. Step 6: Final answer
    x = 325,939.65

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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.