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Finding the Third Proportional to 58,944 and 121,344

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Solution

The third proportional to 58,944 and 121,344 is: 249,802.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,944 : 121,344 = 121,344 : x
  2. Step 2: Convert to fraction form
    58,944/121,344 = 121,344/x
  3. Step 3: Cross multiply
    58,944x = 121,344 × 121,344
  4. Step 4: Simplify right side
    58,944x = 14,724,366,336
  5. Step 5: Solve for x
    x = 14,724,366,336/58,944
  6. Step 6: Final answer
    x = 249,802.63

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.