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Finding the Third Proportional to 85,284 and 133,484

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Solution

The third proportional to 85,284 and 133,484 is: 208,925.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,284 : 133,484 = 133,484 : x
  2. Step 2: Convert to fraction form
    85,284/133,484 = 133,484/x
  3. Step 3: Cross multiply
    85,284x = 133,484 × 133,484
  4. Step 4: Simplify right side
    85,284x = 17,817,978,256
  5. Step 5: Solve for x
    x = 17,817,978,256/85,284
  6. Step 6: Final answer
    x = 208,925.22

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.