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Finding the Third Proportional to 74,565.56 and 153,505.13

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Solution

The third proportional to 74,565.56 and 153,505.13 is: 316,014.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,565.56 : 153,505.13 = 153,505.13 : x
  2. Step 2: Convert to fraction form
    74,565.56/153,505.13 = 153,505.13/x
  3. Step 3: Cross multiply
    74,565.56x = 153,505.13 × 153,505.13
  4. Step 4: Simplify right side
    74,565.56x = 23,563,823,401.27
  5. Step 5: Solve for x
    x = 23,563,823,401.27/74,565.56
  6. Step 6: Final answer
    x = 316,014.83

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.