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Finding the Third Proportional to 93,040 and 136,536

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Solution

The third proportional to 93,040 and 136,536 is: 200,366.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,040 : 136,536 = 136,536 : x
  2. Step 2: Convert to fraction form
    93,040/136,536 = 136,536/x
  3. Step 3: Cross multiply
    93,040x = 136,536 × 136,536
  4. Step 4: Simplify right side
    93,040x = 18,642,079,296
  5. Step 5: Solve for x
    x = 18,642,079,296/93,040
  6. Step 6: Final answer
    x = 200,366.29

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