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Finding the Third Proportional to 74,695.50 and 160,719

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Solution

The third proportional to 74,695.50 and 160,719 is: 345,811.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,695.50 : 160,719 = 160,719 : x
  2. Step 2: Convert to fraction form
    74,695.50/160,719 = 160,719/x
  3. Step 3: Cross multiply
    74,695.50x = 160,719 × 160,719
  4. Step 4: Simplify right side
    74,695.50x = 25,830,596,961
  5. Step 5: Solve for x
    x = 25,830,596,961/74,695.50
  6. Step 6: Final answer
    x = 345,811.96

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.