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Finding the Third Proportional to 93,064 and 148,229

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Solution

The third proportional to 93,064 and 148,229 is: 236,093.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,064 : 148,229 = 148,229 : x
  2. Step 2: Convert to fraction form
    93,064/148,229 = 148,229/x
  3. Step 3: Cross multiply
    93,064x = 148,229 × 148,229
  4. Step 4: Simplify right side
    93,064x = 21,971,836,441
  5. Step 5: Solve for x
    x = 21,971,836,441/93,064
  6. Step 6: Final answer
    x = 236,093.83

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.