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Finding the Third Proportional to 89,320 and 121,300

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Solution

The third proportional to 89,320 and 121,300 is: 164,730.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,320 : 121,300 = 121,300 : x
  2. Step 2: Convert to fraction form
    89,320/121,300 = 121,300/x
  3. Step 3: Cross multiply
    89,320x = 121,300 × 121,300
  4. Step 4: Simplify right side
    89,320x = 14,713,690,000
  5. Step 5: Solve for x
    x = 14,713,690,000/89,320
  6. Step 6: Final answer
    x = 164,730.07

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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.