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Finding the Third Proportional to 53,742 and 80,316

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Solution

The third proportional to 53,742 and 80,316 is: 120,030.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,742 : 80,316 = 80,316 : x
  2. Step 2: Convert to fraction form
    53,742/80,316 = 80,316/x
  3. Step 3: Cross multiply
    53,742x = 80,316 × 80,316
  4. Step 4: Simplify right side
    53,742x = 6,450,659,856
  5. Step 5: Solve for x
    x = 6,450,659,856/53,742
  6. Step 6: Final answer
    x = 120,030.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.