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Finding the Third Proportional to 109,086 and 235,362

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Solution

The third proportional to 109,086 and 235,362 is: 507,812.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,086 : 235,362 = 235,362 : x
  2. Step 2: Convert to fraction form
    109,086/235,362 = 235,362/x
  3. Step 3: Cross multiply
    109,086x = 235,362 × 235,362
  4. Step 4: Simplify right side
    109,086x = 55,395,271,044
  5. Step 5: Solve for x
    x = 55,395,271,044/109,086
  6. Step 6: Final answer
    x = 507,812.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.