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Finding the Third Proportional to 57,316 and 121,064

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Solution

The third proportional to 57,316 and 121,064 is: 255,713.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,316 : 121,064 = 121,064 : x
  2. Step 2: Convert to fraction form
    57,316/121,064 = 121,064/x
  3. Step 3: Cross multiply
    57,316x = 121,064 × 121,064
  4. Step 4: Simplify right side
    57,316x = 14,656,492,096
  5. Step 5: Solve for x
    x = 14,656,492,096/57,316
  6. Step 6: Final answer
    x = 255,713.80

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.