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Finding the Third Proportional to 56,664.50 and 83,343

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Solution

The third proportional to 56,664.50 and 83,343 is: 122,582.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,664.50 : 83,343 = 83,343 : x
  2. Step 2: Convert to fraction form
    56,664.50/83,343 = 83,343/x
  3. Step 3: Cross multiply
    56,664.50x = 83,343 × 83,343
  4. Step 4: Simplify right side
    56,664.50x = 6,946,055,649
  5. Step 5: Solve for x
    x = 6,946,055,649/56,664.50
  6. Step 6: Final answer
    x = 122,582.14

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.