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Finding the Third Proportional to 58,891.50 and 128,784

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Solution

The third proportional to 58,891.50 and 128,784 is: 281,625.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,891.50 : 128,784 = 128,784 : x
  2. Step 2: Convert to fraction form
    58,891.50/128,784 = 128,784/x
  3. Step 3: Cross multiply
    58,891.50x = 128,784 × 128,784
  4. Step 4: Simplify right side
    58,891.50x = 16,585,318,656
  5. Step 5: Solve for x
    x = 16,585,318,656/58,891.50
  6. Step 6: Final answer
    x = 281,625.00

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.