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Finding the Third Proportional to 76,047 and 118,369

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Solution

The third proportional to 76,047 and 118,369 is: 184,244.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,047 : 118,369 = 118,369 : x
  2. Step 2: Convert to fraction form
    76,047/118,369 = 118,369/x
  3. Step 3: Cross multiply
    76,047x = 118,369 × 118,369
  4. Step 4: Simplify right side
    76,047x = 14,011,220,161
  5. Step 5: Solve for x
    x = 14,011,220,161/76,047
  6. Step 6: Final answer
    x = 184,244.22

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.