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Finding the Third Proportional to 63,952 and 96,820

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Solution

The third proportional to 63,952 and 96,820 is: 146,580.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,952 : 96,820 = 96,820 : x
  2. Step 2: Convert to fraction form
    63,952/96,820 = 96,820/x
  3. Step 3: Cross multiply
    63,952x = 96,820 × 96,820
  4. Step 4: Simplify right side
    63,952x = 9,374,112,400
  5. Step 5: Solve for x
    x = 9,374,112,400/63,952
  6. Step 6: Final answer
    x = 146,580.44

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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.