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Finding the Third Proportional to 74,925.38 and 156,775.88

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Solution

The third proportional to 74,925.38 and 156,775.88 is: 328,042.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,925.38 : 156,775.88 = 156,775.88 : x
  2. Step 2: Convert to fraction form
    74,925.38/156,775.88 = 156,775.88/x
  3. Step 3: Cross multiply
    74,925.38x = 156,775.88 × 156,775.88
  4. Step 4: Simplify right side
    74,925.38x = 24,578,674,982.02
  5. Step 5: Solve for x
    x = 24,578,674,982.02/74,925.38
  6. Step 6: Final answer
    x = 328,042.07

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.