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Finding the Third Proportional to 56,742 and 132,537

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Solution

The third proportional to 56,742 and 132,537 is: 309,577.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,742 : 132,537 = 132,537 : x
  2. Step 2: Convert to fraction form
    56,742/132,537 = 132,537/x
  3. Step 3: Cross multiply
    56,742x = 132,537 × 132,537
  4. Step 4: Simplify right side
    56,742x = 17,566,056,369
  5. Step 5: Solve for x
    x = 17,566,056,369/56,742
  6. Step 6: Final answer
    x = 309,577.67

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.