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Finding the Third Proportional to 61,707 and 92,155

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Solution

The third proportional to 61,707 and 92,155 is: 137,626.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,707 : 92,155 = 92,155 : x
  2. Step 2: Convert to fraction form
    61,707/92,155 = 92,155/x
  3. Step 3: Cross multiply
    61,707x = 92,155 × 92,155
  4. Step 4: Simplify right side
    61,707x = 8,492,544,025
  5. Step 5: Solve for x
    x = 8,492,544,025/61,707
  6. Step 6: Final answer
    x = 137,626.91

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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.