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Finding the Third Proportional to 122,643 and 173,920.50

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Solution

The third proportional to 122,643 and 173,920.50 is: 246,637.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,643 : 173,920.50 = 173,920.50 : x
  2. Step 2: Convert to fraction form
    122,643/173,920.50 = 173,920.50/x
  3. Step 3: Cross multiply
    122,643x = 173,920.50 × 173,920.50
  4. Step 4: Simplify right side
    122,643x = 30,248,340,320.25
  5. Step 5: Solve for x
    x = 30,248,340,320.25/122,643
  6. Step 6: Final answer
    x = 246,637.32

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.