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Finding the Third Proportional to 74,291.06 and 160,695.56

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Solution

The third proportional to 74,291.06 and 160,695.56 is: 347,593.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,291.06 : 160,695.56 = 160,695.56 : x
  2. Step 2: Convert to fraction form
    74,291.06/160,695.56 = 160,695.56/x
  3. Step 3: Cross multiply
    74,291.06x = 160,695.56 × 160,695.56
  4. Step 4: Simplify right side
    74,291.06x = 25,823,063,807.19
  5. Step 5: Solve for x
    x = 25,823,063,807.19/74,291.06
  6. Step 6: Final answer
    x = 347,593.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.