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Finding the Third Proportional to 137,103 and 291,666

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Solution

The third proportional to 137,103 and 291,666 is: 620,475.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,103 : 291,666 = 291,666 : x
  2. Step 2: Convert to fraction form
    137,103/291,666 = 291,666/x
  3. Step 3: Cross multiply
    137,103x = 291,666 × 291,666
  4. Step 4: Simplify right side
    137,103x = 85,069,055,556
  5. Step 5: Solve for x
    x = 85,069,055,556/137,103
  6. Step 6: Final answer
    x = 620,475.52

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.