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Finding the Third Proportional to 77,248 and 169,248

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Solution

The third proportional to 77,248 and 169,248 is: 370,817.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,248 : 169,248 = 169,248 : x
  2. Step 2: Convert to fraction form
    77,248/169,248 = 169,248/x
  3. Step 3: Cross multiply
    77,248x = 169,248 × 169,248
  4. Step 4: Simplify right side
    77,248x = 28,644,885,504
  5. Step 5: Solve for x
    x = 28,644,885,504/77,248
  6. Step 6: Final answer
    x = 370,817.18

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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.