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Finding the Third Proportional to 64,700 and 102,882

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Solution

The third proportional to 64,700 and 102,882 is: 163,596.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,700 : 102,882 = 102,882 : x
  2. Step 2: Convert to fraction form
    64,700/102,882 = 102,882/x
  3. Step 3: Cross multiply
    64,700x = 102,882 × 102,882
  4. Step 4: Simplify right side
    64,700x = 10,584,705,924
  5. Step 5: Solve for x
    x = 10,584,705,924/64,700
  6. Step 6: Final answer
    x = 163,596.69

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.