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Finding the Third Proportional to 55,332 and 120,046.50

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Solution

The third proportional to 55,332 and 120,046.50 is: 260,448.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,332 : 120,046.50 = 120,046.50 : x
  2. Step 2: Convert to fraction form
    55,332/120,046.50 = 120,046.50/x
  3. Step 3: Cross multiply
    55,332x = 120,046.50 × 120,046.50
  4. Step 4: Simplify right side
    55,332x = 14,411,162,162.25
  5. Step 5: Solve for x
    x = 14,411,162,162.25/55,332
  6. Step 6: Final answer
    x = 260,448.97

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.