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Finding the Third Proportional to 46,133.63 and 68,959.50

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Solution

The third proportional to 46,133.63 and 68,959.50 is: 103,079.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,133.63 : 68,959.50 = 68,959.50 : x
  2. Step 2: Convert to fraction form
    46,133.63/68,959.50 = 68,959.50/x
  3. Step 3: Cross multiply
    46,133.63x = 68,959.50 × 68,959.50
  4. Step 4: Simplify right side
    46,133.63x = 4,755,412,640.25
  5. Step 5: Solve for x
    x = 4,755,412,640.25/46,133.63
  6. Step 6: Final answer
    x = 103,079.10

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.