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Finding the Third Proportional to 97,712 and 146,827

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Solution

The third proportional to 97,712 and 146,827 is: 220,629.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,712 : 146,827 = 146,827 : x
  2. Step 2: Convert to fraction form
    97,712/146,827 = 146,827/x
  3. Step 3: Cross multiply
    97,712x = 146,827 × 146,827
  4. Step 4: Simplify right side
    97,712x = 21,558,167,929
  5. Step 5: Solve for x
    x = 21,558,167,929/97,712
  6. Step 6: Final answer
    x = 220,629.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.