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Finding the Third Proportional to 89,440 and 121,037

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Solution

The third proportional to 89,440 and 121,037 is: 163,796.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,440 : 121,037 = 121,037 : x
  2. Step 2: Convert to fraction form
    89,440/121,037 = 121,037/x
  3. Step 3: Cross multiply
    89,440x = 121,037 × 121,037
  4. Step 4: Simplify right side
    89,440x = 14,649,955,369
  5. Step 5: Solve for x
    x = 14,649,955,369/89,440
  6. Step 6: Final answer
    x = 163,796.46

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.