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Finding the Third Proportional to 58,716.46 and 128,654.66

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Solution

The third proportional to 58,716.46 and 128,654.66 is: 281,897.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,716.46 : 128,654.66 = 128,654.66 : x
  2. Step 2: Convert to fraction form
    58,716.46/128,654.66 = 128,654.66/x
  3. Step 3: Cross multiply
    58,716.46x = 128,654.66 × 128,654.66
  4. Step 4: Simplify right side
    58,716.46x = 16,552,020,826.08
  5. Step 5: Solve for x
    x = 16,552,020,826.08/58,716.46
  6. Step 6: Final answer
    x = 281,897.47

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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.