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Finding the Third Proportional to 44,130 and 95,674

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Solution

The third proportional to 44,130 and 95,674 is: 207,421.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,130 : 95,674 = 95,674 : x
  2. Step 2: Convert to fraction form
    44,130/95,674 = 95,674/x
  3. Step 3: Cross multiply
    44,130x = 95,674 × 95,674
  4. Step 4: Simplify right side
    44,130x = 9,153,514,276
  5. Step 5: Solve for x
    x = 9,153,514,276/44,130
  6. Step 6: Final answer
    x = 207,421.58

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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.