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Finding the Third Proportional to 57,090 and 89,091

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Solution

The third proportional to 57,090 and 89,091 is: 139,029.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,090 : 89,091 = 89,091 : x
  2. Step 2: Convert to fraction form
    57,090/89,091 = 89,091/x
  3. Step 3: Cross multiply
    57,090x = 89,091 × 89,091
  4. Step 4: Simplify right side
    57,090x = 7,937,206,281
  5. Step 5: Solve for x
    x = 7,937,206,281/57,090
  6. Step 6: Final answer
    x = 139,029.71

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.