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Finding the Third Proportional to 66,017.50 and 99,343

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Solution

The third proportional to 66,017.50 and 99,343 is: 149,491.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,017.50 : 99,343 = 99,343 : x
  2. Step 2: Convert to fraction form
    66,017.50/99,343 = 99,343/x
  3. Step 3: Cross multiply
    66,017.50x = 99,343 × 99,343
  4. Step 4: Simplify right side
    66,017.50x = 9,869,031,649
  5. Step 5: Solve for x
    x = 9,869,031,649/66,017.50
  6. Step 6: Final answer
    x = 149,491.14

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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.