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Finding the Third Proportional to 58,284 and 125,059.50

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Solution

The third proportional to 58,284 and 125,059.50 is: 268,339.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,284 : 125,059.50 = 125,059.50 : x
  2. Step 2: Convert to fraction form
    58,284/125,059.50 = 125,059.50/x
  3. Step 3: Cross multiply
    58,284x = 125,059.50 × 125,059.50
  4. Step 4: Simplify right side
    58,284x = 15,639,878,540.25
  5. Step 5: Solve for x
    x = 15,639,878,540.25/58,284
  6. Step 6: Final answer
    x = 268,339.14

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.