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Finding the Third Proportional to 72,539 and 153,787

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Solution

The third proportional to 72,539 and 153,787 is: 326,037.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,539 : 153,787 = 153,787 : x
  2. Step 2: Convert to fraction form
    72,539/153,787 = 153,787/x
  3. Step 3: Cross multiply
    72,539x = 153,787 × 153,787
  4. Step 4: Simplify right side
    72,539x = 23,650,441,369
  5. Step 5: Solve for x
    x = 23,650,441,369/72,539
  6. Step 6: Final answer
    x = 326,037.60

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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.