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Finding the Third Proportional to 48,574 and 77,237

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Solution

The third proportional to 48,574 and 77,237 is: 122,813.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,574 : 77,237 = 77,237 : x
  2. Step 2: Convert to fraction form
    48,574/77,237 = 77,237/x
  3. Step 3: Cross multiply
    48,574x = 77,237 × 77,237
  4. Step 4: Simplify right side
    48,574x = 5,965,554,169
  5. Step 5: Solve for x
    x = 5,965,554,169/48,574
  6. Step 6: Final answer
    x = 122,813.73

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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.