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Finding the Third Proportional to 58,284 and 120,716

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Solution

The third proportional to 58,284 and 120,716 is: 250,023.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,284 : 120,716 = 120,716 : x
  2. Step 2: Convert to fraction form
    58,284/120,716 = 120,716/x
  3. Step 3: Cross multiply
    58,284x = 120,716 × 120,716
  4. Step 4: Simplify right side
    58,284x = 14,572,352,656
  5. Step 5: Solve for x
    x = 14,572,352,656/58,284
  6. Step 6: Final answer
    x = 250,023.21

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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.