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Finding the Third Proportional to 61,742 and 92,205

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Solution

The third proportional to 61,742 and 92,205 is: 137,698.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,742 : 92,205 = 92,205 : x
  2. Step 2: Convert to fraction form
    61,742/92,205 = 92,205/x
  3. Step 3: Cross multiply
    61,742x = 92,205 × 92,205
  4. Step 4: Simplify right side
    61,742x = 8,501,762,025
  5. Step 5: Solve for x
    x = 8,501,762,025/61,742
  6. Step 6: Final answer
    x = 137,698.20

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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.