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Finding the Third Proportional to 115,292 and 178,053

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Solution

The third proportional to 115,292 and 178,053 is: 274,978.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,292 : 178,053 = 178,053 : x
  2. Step 2: Convert to fraction form
    115,292/178,053 = 178,053/x
  3. Step 3: Cross multiply
    115,292x = 178,053 × 178,053
  4. Step 4: Simplify right side
    115,292x = 31,702,870,809
  5. Step 5: Solve for x
    x = 31,702,870,809/115,292
  6. Step 6: Final answer
    x = 274,978.93

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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.