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Finding the Third Proportional to 72,411.50 and 153,563

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Solution

The third proportional to 72,411.50 and 153,563 is: 325,660.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,411.50 : 153,563 = 153,563 : x
  2. Step 2: Convert to fraction form
    72,411.50/153,563 = 153,563/x
  3. Step 3: Cross multiply
    72,411.50x = 153,563 × 153,563
  4. Step 4: Simplify right side
    72,411.50x = 23,581,594,969
  5. Step 5: Solve for x
    x = 23,581,594,969/72,411.50
  6. Step 6: Final answer
    x = 325,660.91

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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.