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Finding the Third Proportional to 93,881 and 147,536

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Solution

The third proportional to 93,881 and 147,536 is: 231,855.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,881 : 147,536 = 147,536 : x
  2. Step 2: Convert to fraction form
    93,881/147,536 = 147,536/x
  3. Step 3: Cross multiply
    93,881x = 147,536 × 147,536
  4. Step 4: Simplify right side
    93,881x = 21,766,871,296
  5. Step 5: Solve for x
    x = 21,766,871,296/93,881
  6. Step 6: Final answer
    x = 231,855.98

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.