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Finding the Third Proportional to 63,875 and 96,703

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Solution

The third proportional to 63,875 and 96,703 is: 146,402.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,875 : 96,703 = 96,703 : x
  2. Step 2: Convert to fraction form
    63,875/96,703 = 96,703/x
  3. Step 3: Cross multiply
    63,875x = 96,703 × 96,703
  4. Step 4: Simplify right side
    63,875x = 9,351,470,209
  5. Step 5: Solve for x
    x = 9,351,470,209/63,875
  6. Step 6: Final answer
    x = 146,402.66

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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.