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Finding the Third Proportional to 76,887 and 164,712

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Solution

The third proportional to 76,887 and 164,712 is: 352,856.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,887 : 164,712 = 164,712 : x
  2. Step 2: Convert to fraction form
    76,887/164,712 = 164,712/x
  3. Step 3: Cross multiply
    76,887x = 164,712 × 164,712
  4. Step 4: Simplify right side
    76,887x = 27,130,042,944
  5. Step 5: Solve for x
    x = 27,130,042,944/76,887
  6. Step 6: Final answer
    x = 352,856.05

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.