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Finding the Third Proportional to 58,454 and 127,842

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Solution

The third proportional to 58,454 and 127,842 is: 279,597.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,454 : 127,842 = 127,842 : x
  2. Step 2: Convert to fraction form
    58,454/127,842 = 127,842/x
  3. Step 3: Cross multiply
    58,454x = 127,842 × 127,842
  4. Step 4: Simplify right side
    58,454x = 16,343,576,964
  5. Step 5: Solve for x
    x = 16,343,576,964/58,454
  6. Step 6: Final answer
    x = 279,597.24

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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.