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Finding the Third Proportional to 89,090 and 125,319

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Solution

The third proportional to 89,090 and 125,319 is: 176,280.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,090 : 125,319 = 125,319 : x
  2. Step 2: Convert to fraction form
    89,090/125,319 = 125,319/x
  3. Step 3: Cross multiply
    89,090x = 125,319 × 125,319
  4. Step 4: Simplify right side
    89,090x = 15,704,851,761
  5. Step 5: Solve for x
    x = 15,704,851,761/89,090
  6. Step 6: Final answer
    x = 176,280.75

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.