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Finding the Third Proportional to 58,294.69 and 127,686.94

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Solution

The third proportional to 58,294.69 and 127,686.94 is: 279,681.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,294.69 : 127,686.94 = 127,686.94 : x
  2. Step 2: Convert to fraction form
    58,294.69/127,686.94 = 127,686.94/x
  3. Step 3: Cross multiply
    58,294.69x = 127,686.94 × 127,686.94
  4. Step 4: Simplify right side
    58,294.69x = 16,303,954,008.13
  5. Step 5: Solve for x
    x = 16,303,954,008.13/58,294.69
  6. Step 6: Final answer
    x = 279,681.64

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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.