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Finding the Third Proportional to 57,276 and 84,196

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Solution

The third proportional to 57,276 and 84,196 is: 123,768.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,276 : 84,196 = 84,196 : x
  2. Step 2: Convert to fraction form
    57,276/84,196 = 84,196/x
  3. Step 3: Cross multiply
    57,276x = 84,196 × 84,196
  4. Step 4: Simplify right side
    57,276x = 7,088,966,416
  5. Step 5: Solve for x
    x = 7,088,966,416/57,276
  6. Step 6: Final answer
    x = 123,768.53

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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.