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Finding the Third Proportional to 77,148 and 169,068

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Solution

The third proportional to 77,148 and 169,068 is: 370,508.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,148 : 169,068 = 169,068 : x
  2. Step 2: Convert to fraction form
    77,148/169,068 = 169,068/x
  3. Step 3: Cross multiply
    77,148x = 169,068 × 169,068
  4. Step 4: Simplify right side
    77,148x = 28,583,988,624
  5. Step 5: Solve for x
    x = 28,583,988,624/77,148
  6. Step 6: Final answer
    x = 370,508.49

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.