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Finding the Third Proportional to 61,511 and 91,946.50

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Solution

The third proportional to 61,511 and 91,946.50 is: 137,441.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,511 : 91,946.50 = 91,946.50 : x
  2. Step 2: Convert to fraction form
    61,511/91,946.50 = 91,946.50/x
  3. Step 3: Cross multiply
    61,511x = 91,946.50 × 91,946.50
  4. Step 4: Simplify right side
    61,511x = 8,454,158,862.25
  5. Step 5: Solve for x
    x = 8,454,158,862.25/61,511
  6. Step 6: Final answer
    x = 137,441.41

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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.