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Finding the Third Proportional to 73,854 and 161,076

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Solution

The third proportional to 73,854 and 161,076 is: 351,307.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,854 : 161,076 = 161,076 : x
  2. Step 2: Convert to fraction form
    73,854/161,076 = 161,076/x
  3. Step 3: Cross multiply
    73,854x = 161,076 × 161,076
  4. Step 4: Simplify right side
    73,854x = 25,945,477,776
  5. Step 5: Solve for x
    x = 25,945,477,776/73,854
  6. Step 6: Final answer
    x = 351,307.69

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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.