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Finding the Third Proportional to 73,088 and 158,712

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Solution

The third proportional to 73,088 and 158,712 is: 344,646.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,088 : 158,712 = 158,712 : x
  2. Step 2: Convert to fraction form
    73,088/158,712 = 158,712/x
  3. Step 3: Cross multiply
    73,088x = 158,712 × 158,712
  4. Step 4: Simplify right side
    73,088x = 25,189,498,944
  5. Step 5: Solve for x
    x = 25,189,498,944/73,088
  6. Step 6: Final answer
    x = 344,646.17

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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.