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Finding the Third Proportional to 53,283 and 71,085

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Solution

The third proportional to 53,283 and 71,085 is: 94,834.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,283 : 71,085 = 71,085 : x
  2. Step 2: Convert to fraction form
    53,283/71,085 = 71,085/x
  3. Step 3: Cross multiply
    53,283x = 71,085 × 71,085
  4. Step 4: Simplify right side
    53,283x = 5,053,077,225
  5. Step 5: Solve for x
    x = 5,053,077,225/53,283
  6. Step 6: Final answer
    x = 94,834.70

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.