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Finding the Third Proportional to 65,319 and 88,257

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Solution

The third proportional to 65,319 and 88,257 is: 119,250.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,319 : 88,257 = 88,257 : x
  2. Step 2: Convert to fraction form
    65,319/88,257 = 88,257/x
  3. Step 3: Cross multiply
    65,319x = 88,257 × 88,257
  4. Step 4: Simplify right side
    65,319x = 7,789,298,049
  5. Step 5: Solve for x
    x = 7,789,298,049/65,319
  6. Step 6: Final answer
    x = 119,250.11

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.