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Finding the Third Proportional to 60,284 and 88,257

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Solution

The third proportional to 60,284 and 88,257 is: 129,210.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,284 : 88,257 = 88,257 : x
  2. Step 2: Convert to fraction form
    60,284/88,257 = 88,257/x
  3. Step 3: Cross multiply
    60,284x = 88,257 × 88,257
  4. Step 4: Simplify right side
    60,284x = 7,789,298,049
  5. Step 5: Solve for x
    x = 7,789,298,049/60,284
  6. Step 6: Final answer
    x = 129,210.04

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.