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Finding the Third Proportional to 63,186 and 93,969

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Solution

The third proportional to 63,186 and 93,969 is: 139,748.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,186 : 93,969 = 93,969 : x
  2. Step 2: Convert to fraction form
    63,186/93,969 = 93,969/x
  3. Step 3: Cross multiply
    63,186x = 93,969 × 93,969
  4. Step 4: Simplify right side
    63,186x = 8,830,172,961
  5. Step 5: Solve for x
    x = 8,830,172,961/63,186
  6. Step 6: Final answer
    x = 139,748.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.