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Finding the Third Proportional to 61,735 and 92,196

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Solution

The third proportional to 61,735 and 92,196 is: 137,686.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,735 : 92,196 = 92,196 : x
  2. Step 2: Convert to fraction form
    61,735/92,196 = 92,196/x
  3. Step 3: Cross multiply
    61,735x = 92,196 × 92,196
  4. Step 4: Simplify right side
    61,735x = 8,500,102,416
  5. Step 5: Solve for x
    x = 8,500,102,416/61,735
  6. Step 6: Final answer
    x = 137,686.93

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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.