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Finding the Third Proportional to 74,064.38 and 156,967.88

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Solution

The third proportional to 74,064.38 and 156,967.88 is: 332,668.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,064.38 : 156,967.88 = 156,967.88 : x
  2. Step 2: Convert to fraction form
    74,064.38/156,967.88 = 156,967.88/x
  3. Step 3: Cross multiply
    74,064.38x = 156,967.88 × 156,967.88
  4. Step 4: Simplify right side
    74,064.38x = 24,638,913,782.02
  5. Step 5: Solve for x
    x = 24,638,913,782.02/74,064.38
  6. Step 6: Final answer
    x = 332,668.89

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.