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Finding the Third Proportional to 89,748 and 138,954

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Solution

The third proportional to 89,748 and 138,954 is: 215,138.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,748 : 138,954 = 138,954 : x
  2. Step 2: Convert to fraction form
    89,748/138,954 = 138,954/x
  3. Step 3: Cross multiply
    89,748x = 138,954 × 138,954
  4. Step 4: Simplify right side
    89,748x = 19,308,214,116
  5. Step 5: Solve for x
    x = 19,308,214,116/89,748
  6. Step 6: Final answer
    x = 215,138.10

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.