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Finding the Third Proportional to 93,560 and 141,064

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Solution

The third proportional to 93,560 and 141,064 is: 212,687.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,560 : 141,064 = 141,064 : x
  2. Step 2: Convert to fraction form
    93,560/141,064 = 141,064/x
  3. Step 3: Cross multiply
    93,560x = 141,064 × 141,064
  4. Step 4: Simplify right side
    93,560x = 19,899,052,096
  5. Step 5: Solve for x
    x = 19,899,052,096/93,560
  6. Step 6: Final answer
    x = 212,687.60

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.