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Finding the Third Proportional to 48,070 and 71,706

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Solution

The third proportional to 48,070 and 71,706 is: 106,963.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,070 : 71,706 = 71,706 : x
  2. Step 2: Convert to fraction form
    48,070/71,706 = 71,706/x
  3. Step 3: Cross multiply
    48,070x = 71,706 × 71,706
  4. Step 4: Simplify right side
    48,070x = 5,141,750,436
  5. Step 5: Solve for x
    x = 5,141,750,436/48,070
  6. Step 6: Final answer
    x = 106,963.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.