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Finding the Third Proportional to 61,742 and 92,206

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Solution

The third proportional to 61,742 and 92,206 is: 137,701.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,742 : 92,206 = 92,206 : x
  2. Step 2: Convert to fraction form
    61,742/92,206 = 92,206/x
  3. Step 3: Cross multiply
    61,742x = 92,206 × 92,206
  4. Step 4: Simplify right side
    61,742x = 8,501,946,436
  5. Step 5: Solve for x
    x = 8,501,946,436/61,742
  6. Step 6: Final answer
    x = 137,701.18

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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.