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Finding the Third Proportional to 47,184 and 64,119

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Solution

The third proportional to 47,184 and 64,119 is: 87,132.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,184 : 64,119 = 64,119 : x
  2. Step 2: Convert to fraction form
    47,184/64,119 = 64,119/x
  3. Step 3: Cross multiply
    47,184x = 64,119 × 64,119
  4. Step 4: Simplify right side
    47,184x = 4,111,246,161
  5. Step 5: Solve for x
    x = 4,111,246,161/47,184
  6. Step 6: Final answer
    x = 87,132.21

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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.