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Finding the Third Proportional to 58,599 and 121,350

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Solution

The third proportional to 58,599 and 121,350 is: 251,298.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,599 : 121,350 = 121,350 : x
  2. Step 2: Convert to fraction form
    58,599/121,350 = 121,350/x
  3. Step 3: Cross multiply
    58,599x = 121,350 × 121,350
  4. Step 4: Simplify right side
    58,599x = 14,725,822,500
  5. Step 5: Solve for x
    x = 14,725,822,500/58,599
  6. Step 6: Final answer
    x = 251,298.19

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.