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Finding the Third Proportional to 115,130.25 and 177,617.25

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Solution

The third proportional to 115,130.25 and 177,617.25 is: 274,019.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,130.25 : 177,617.25 = 177,617.25 : x
  2. Step 2: Convert to fraction form
    115,130.25/177,617.25 = 177,617.25/x
  3. Step 3: Cross multiply
    115,130.25x = 177,617.25 × 177,617.25
  4. Step 4: Simplify right side
    115,130.25x = 31,547,887,497.56
  5. Step 5: Solve for x
    x = 31,547,887,497.56/115,130.25
  6. Step 6: Final answer
    x = 274,019.10

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.