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Finding the Third Proportional to 76,073 and 111,292

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Solution

The third proportional to 76,073 and 111,292 is: 162,816.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,073 : 111,292 = 111,292 : x
  2. Step 2: Convert to fraction form
    76,073/111,292 = 111,292/x
  3. Step 3: Cross multiply
    76,073x = 111,292 × 111,292
  4. Step 4: Simplify right side
    76,073x = 12,385,909,264
  5. Step 5: Solve for x
    x = 12,385,909,264/76,073
  6. Step 6: Final answer
    x = 162,816.10

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.