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Finding the Third Proportional to 93,532 and 145,123

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Solution

The third proportional to 93,532 and 145,123 is: 225,170.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,532 : 145,123 = 145,123 : x
  2. Step 2: Convert to fraction form
    93,532/145,123 = 145,123/x
  3. Step 3: Cross multiply
    93,532x = 145,123 × 145,123
  4. Step 4: Simplify right side
    93,532x = 21,060,685,129
  5. Step 5: Solve for x
    x = 21,060,685,129/93,532
  6. Step 6: Final answer
    x = 225,170.91

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.