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Finding the Third Proportional to 73,008 and 158,409

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Solution

The third proportional to 73,008 and 158,409 is: 343,707.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,008 : 158,409 = 158,409 : x
  2. Step 2: Convert to fraction form
    73,008/158,409 = 158,409/x
  3. Step 3: Cross multiply
    73,008x = 158,409 × 158,409
  4. Step 4: Simplify right side
    73,008x = 25,093,411,281
  5. Step 5: Solve for x
    x = 25,093,411,281/73,008
  6. Step 6: Final answer
    x = 343,707.69

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.