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Finding the Third Proportional to 102,202 and 156,979

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Solution

The third proportional to 102,202 and 156,979 is: 241,114.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,202 : 156,979 = 156,979 : x
  2. Step 2: Convert to fraction form
    102,202/156,979 = 156,979/x
  3. Step 3: Cross multiply
    102,202x = 156,979 × 156,979
  4. Step 4: Simplify right side
    102,202x = 24,642,406,441
  5. Step 5: Solve for x
    x = 24,642,406,441/102,202
  6. Step 6: Final answer
    x = 241,114.72

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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.