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Finding the Third Proportional to 59,114 and 89,284

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Solution

The third proportional to 59,114 and 89,284 is: 134,851.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,114 : 89,284 = 89,284 : x
  2. Step 2: Convert to fraction form
    59,114/89,284 = 89,284/x
  3. Step 3: Cross multiply
    59,114x = 89,284 × 89,284
  4. Step 4: Simplify right side
    59,114x = 7,971,632,656
  5. Step 5: Solve for x
    x = 7,971,632,656/59,114
  6. Step 6: Final answer
    x = 134,851.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.