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Finding the Third Proportional to 77,293.50 and 164,712

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Solution

The third proportional to 77,293.50 and 164,712 is: 351,000.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,293.50 : 164,712 = 164,712 : x
  2. Step 2: Convert to fraction form
    77,293.50/164,712 = 164,712/x
  3. Step 3: Cross multiply
    77,293.50x = 164,712 × 164,712
  4. Step 4: Simplify right side
    77,293.50x = 27,130,042,944
  5. Step 5: Solve for x
    x = 27,130,042,944/77,293.50
  6. Step 6: Final answer
    x = 351,000.32

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.