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Finding the Third Proportional to 102,184 and 156,948

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Solution

The third proportional to 102,184 and 156,948 is: 241,061.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,184 : 156,948 = 156,948 : x
  2. Step 2: Convert to fraction form
    102,184/156,948 = 156,948/x
  3. Step 3: Cross multiply
    102,184x = 156,948 × 156,948
  4. Step 4: Simplify right side
    102,184x = 24,632,674,704
  5. Step 5: Solve for x
    x = 24,632,674,704/102,184
  6. Step 6: Final answer
    x = 241,061.95

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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.