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Finding the Third Proportional to 76,467 and 121,461.38

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Solution

The third proportional to 76,467 and 121,461.38 is: 192,931.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,467 : 121,461.38 = 121,461.38 : x
  2. Step 2: Convert to fraction form
    76,467/121,461.38 = 121,461.38/x
  3. Step 3: Cross multiply
    76,467x = 121,461.38 × 121,461.38
  4. Step 4: Simplify right side
    76,467x = 14,752,865,616.89
  5. Step 5: Solve for x
    x = 14,752,865,616.89/76,467
  6. Step 6: Final answer
    x = 192,931.14

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.