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Finding the Third Proportional to 64,521 and 95,688

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Solution

The third proportional to 64,521 and 95,688 is: 141,910.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,521 : 95,688 = 95,688 : x
  2. Step 2: Convert to fraction form
    64,521/95,688 = 95,688/x
  3. Step 3: Cross multiply
    64,521x = 95,688 × 95,688
  4. Step 4: Simplify right side
    64,521x = 9,156,193,344
  5. Step 5: Solve for x
    x = 9,156,193,344/64,521
  6. Step 6: Final answer
    x = 141,910.28

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.