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Finding the Third Proportional to 137,742 and 212,841

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Solution

The third proportional to 137,742 and 212,841 is: 328,885.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,742 : 212,841 = 212,841 : x
  2. Step 2: Convert to fraction form
    137,742/212,841 = 212,841/x
  3. Step 3: Cross multiply
    137,742x = 212,841 × 212,841
  4. Step 4: Simplify right side
    137,742x = 45,301,291,281
  5. Step 5: Solve for x
    x = 45,301,291,281/137,742
  6. Step 6: Final answer
    x = 328,885.10

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.