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Finding the Third Proportional to 77,247 and 163,652.06

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Solution

The third proportional to 77,247 and 163,652.06 is: 346,705.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,247 : 163,652.06 = 163,652.06 : x
  2. Step 2: Convert to fraction form
    77,247/163,652.06 = 163,652.06/x
  3. Step 3: Cross multiply
    77,247x = 163,652.06 × 163,652.06
  4. Step 4: Simplify right side
    77,247x = 26,781,997,560.50
  5. Step 5: Solve for x
    x = 26,781,997,560.50/77,247
  6. Step 6: Final answer
    x = 346,705.99

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.