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Finding the Third Proportional to 102,200 and 156,968

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Solution

The third proportional to 102,200 and 156,968 is: 241,085.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,200 : 156,968 = 156,968 : x
  2. Step 2: Convert to fraction form
    102,200/156,968 = 156,968/x
  3. Step 3: Cross multiply
    102,200x = 156,968 × 156,968
  4. Step 4: Simplify right side
    102,200x = 24,638,953,024
  5. Step 5: Solve for x
    x = 24,638,953,024/102,200
  6. Step 6: Final answer
    x = 241,085.65

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.