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Finding the Third Proportional to 74,925 and 160,477.45

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Solution

The third proportional to 74,925 and 160,477.45 is: 343,717.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,925 : 160,477.45 = 160,477.45 : x
  2. Step 2: Convert to fraction form
    74,925/160,477.45 = 160,477.45/x
  3. Step 3: Cross multiply
    74,925x = 160,477.45 × 160,477.45
  4. Step 4: Simplify right side
    74,925x = 25,753,012,961.49
  5. Step 5: Solve for x
    x = 25,753,012,961.49/74,925
  6. Step 6: Final answer
    x = 343,717.22

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.