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Finding the Third Proportional to 135,739 and 292,513

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Solution

The third proportional to 135,739 and 292,513 is: 630,355.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,739 : 292,513 = 292,513 : x
  2. Step 2: Convert to fraction form
    135,739/292,513 = 292,513/x
  3. Step 3: Cross multiply
    135,739x = 292,513 × 292,513
  4. Step 4: Simplify right side
    135,739x = 85,563,855,169
  5. Step 5: Solve for x
    x = 85,563,855,169/135,739
  6. Step 6: Final answer
    x = 630,355.72

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.