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Finding the Third Proportional to 113,077.13 and 174,929.06

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Solution

The third proportional to 113,077.13 and 174,929.06 is: 270,613.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,077.13 : 174,929.06 = 174,929.06 : x
  2. Step 2: Convert to fraction form
    113,077.13/174,929.06 = 174,929.06/x
  3. Step 3: Cross multiply
    113,077.13x = 174,929.06 × 174,929.06
  4. Step 4: Simplify right side
    113,077.13x = 30,600,176,907.13
  5. Step 5: Solve for x
    x = 30,600,176,907.13/113,077.13
  6. Step 6: Final answer
    x = 270,613.33

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.