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Finding the Third Proportional to 89,748 and 132,880

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Solution

The third proportional to 89,748 and 132,880 is: 196,740.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,748 : 132,880 = 132,880 : x
  2. Step 2: Convert to fraction form
    89,748/132,880 = 132,880/x
  3. Step 3: Cross multiply
    89,748x = 132,880 × 132,880
  4. Step 4: Simplify right side
    89,748x = 17,657,094,400
  5. Step 5: Solve for x
    x = 17,657,094,400/89,748
  6. Step 6: Final answer
    x = 196,740.81

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.