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Finding the Third Proportional to 109,613 and 235,862

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Solution

The third proportional to 109,613 and 235,862 is: 507,520.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,613 : 235,862 = 235,862 : x
  2. Step 2: Convert to fraction form
    109,613/235,862 = 235,862/x
  3. Step 3: Cross multiply
    109,613x = 235,862 × 235,862
  4. Step 4: Simplify right side
    109,613x = 55,630,883,044
  5. Step 5: Solve for x
    x = 55,630,883,044/109,613
  6. Step 6: Final answer
    x = 507,520.85

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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.