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Finding the Third Proportional to 102,258 and 156,971

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Solution

The third proportional to 102,258 and 156,971 is: 240,958.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,258 : 156,971 = 156,971 : x
  2. Step 2: Convert to fraction form
    102,258/156,971 = 156,971/x
  3. Step 3: Cross multiply
    102,258x = 156,971 × 156,971
  4. Step 4: Simplify right side
    102,258x = 24,639,894,841
  5. Step 5: Solve for x
    x = 24,639,894,841/102,258
  6. Step 6: Final answer
    x = 240,958.11

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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.