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Finding the Third Proportional to 116,356 and 179,070

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Solution

The third proportional to 116,356 and 179,070 is: 275,585.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,356 : 179,070 = 179,070 : x
  2. Step 2: Convert to fraction form
    116,356/179,070 = 179,070/x
  3. Step 3: Cross multiply
    116,356x = 179,070 × 179,070
  4. Step 4: Simplify right side
    116,356x = 32,066,064,900
  5. Step 5: Solve for x
    x = 32,066,064,900/116,356
  6. Step 6: Final answer
    x = 275,585.83

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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.