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Finding the Third Proportional to 137,083 and 209,513

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Solution

The third proportional to 137,083 and 209,513 is: 320,212.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,083 : 209,513 = 209,513 : x
  2. Step 2: Convert to fraction form
    137,083/209,513 = 209,513/x
  3. Step 3: Cross multiply
    137,083x = 209,513 × 209,513
  4. Step 4: Simplify right side
    137,083x = 43,895,697,169
  5. Step 5: Solve for x
    x = 43,895,697,169/137,083
  6. Step 6: Final answer
    x = 320,212.55

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.