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Finding the Third Proportional to 102,358 and 156,777

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Solution

The third proportional to 102,358 and 156,777 is: 240,128.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,358 : 156,777 = 156,777 : x
  2. Step 2: Convert to fraction form
    102,358/156,777 = 156,777/x
  3. Step 3: Cross multiply
    102,358x = 156,777 × 156,777
  4. Step 4: Simplify right side
    102,358x = 24,579,027,729
  5. Step 5: Solve for x
    x = 24,579,027,729/102,358
  6. Step 6: Final answer
    x = 240,128.06

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.