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Finding the Third Proportional to 93,021 and 127,381.50

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Solution

The third proportional to 93,021 and 127,381.50 is: 174,434.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,021 : 127,381.50 = 127,381.50 : x
  2. Step 2: Convert to fraction form
    93,021/127,381.50 = 127,381.50/x
  3. Step 3: Cross multiply
    93,021x = 127,381.50 × 127,381.50
  4. Step 4: Simplify right side
    93,021x = 16,226,046,542.25
  5. Step 5: Solve for x
    x = 16,226,046,542.25/93,021
  6. Step 6: Final answer
    x = 174,434.23

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.