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Finding the Third Proportional to 39,506 and 93,262

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Solution

The third proportional to 39,506 and 93,262 is: 220,164.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,506 : 93,262 = 93,262 : x
  2. Step 2: Convert to fraction form
    39,506/93,262 = 93,262/x
  3. Step 3: Cross multiply
    39,506x = 93,262 × 93,262
  4. Step 4: Simplify right side
    39,506x = 8,697,800,644
  5. Step 5: Solve for x
    x = 8,697,800,644/39,506
  6. Step 6: Final answer
    x = 220,164.04

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.