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Finding the Third Proportional to 58,287.94 and 127,673.72

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Solution

The third proportional to 58,287.94 and 127,673.72 is: 279,656.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,287.94 : 127,673.72 = 127,673.72 : x
  2. Step 2: Convert to fraction form
    58,287.94/127,673.72 = 127,673.72/x
  3. Step 3: Cross multiply
    58,287.94x = 127,673.72 × 127,673.72
  4. Step 4: Simplify right side
    58,287.94x = 16,300,578,459.45
  5. Step 5: Solve for x
    x = 16,300,578,459.45/58,287.94
  6. Step 6: Final answer
    x = 279,656.12

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