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Finding the Third Proportional to 66,484 and 99,501

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Solution

The third proportional to 66,484 and 99,501 is: 148,914.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,484 : 99,501 = 99,501 : x
  2. Step 2: Convert to fraction form
    66,484/99,501 = 99,501/x
  3. Step 3: Cross multiply
    66,484x = 99,501 × 99,501
  4. Step 4: Simplify right side
    66,484x = 9,900,449,001
  5. Step 5: Solve for x
    x = 9,900,449,001/66,484
  6. Step 6: Final answer
    x = 148,914.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.