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Finding the Third Proportional to 74,315 and 161,752

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Solution

The third proportional to 74,315 and 161,752 is: 352,064.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,315 : 161,752 = 161,752 : x
  2. Step 2: Convert to fraction form
    74,315/161,752 = 161,752/x
  3. Step 3: Cross multiply
    74,315x = 161,752 × 161,752
  4. Step 4: Simplify right side
    74,315x = 26,163,709,504
  5. Step 5: Solve for x
    x = 26,163,709,504/74,315
  6. Step 6: Final answer
    x = 352,064.99

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.