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Finding the Third Proportional to 89,303 and 121,281

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Solution

The third proportional to 89,303 and 121,281 is: 164,709.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,303 : 121,281 = 121,281 : x
  2. Step 2: Convert to fraction form
    89,303/121,281 = 121,281/x
  3. Step 3: Cross multiply
    89,303x = 121,281 × 121,281
  4. Step 4: Simplify right side
    89,303x = 14,709,080,961
  5. Step 5: Solve for x
    x = 14,709,080,961/89,303
  6. Step 6: Final answer
    x = 164,709.82

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.