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Finding the Third Proportional to 48,521 and 77,156

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Solution

The third proportional to 48,521 and 77,156 is: 122,690.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,521 : 77,156 = 77,156 : x
  2. Step 2: Convert to fraction form
    48,521/77,156 = 77,156/x
  3. Step 3: Cross multiply
    48,521x = 77,156 × 77,156
  4. Step 4: Simplify right side
    48,521x = 5,953,048,336
  5. Step 5: Solve for x
    x = 5,953,048,336/48,521
  6. Step 6: Final answer
    x = 122,690.14

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.