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Finding the Third Proportional to 72,626.25 and 157,317

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Solution

The third proportional to 72,626.25 and 157,317 is: 340,767.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,626.25 : 157,317 = 157,317 : x
  2. Step 2: Convert to fraction form
    72,626.25/157,317 = 157,317/x
  3. Step 3: Cross multiply
    72,626.25x = 157,317 × 157,317
  4. Step 4: Simplify right side
    72,626.25x = 24,748,638,489
  5. Step 5: Solve for x
    x = 24,748,638,489/72,626.25
  6. Step 6: Final answer
    x = 340,767.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.