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Finding the Third Proportional to 66,354 and 101,459

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Solution

The third proportional to 66,354 and 101,459 is: 155,136.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,354 : 101,459 = 101,459 : x
  2. Step 2: Convert to fraction form
    66,354/101,459 = 101,459/x
  3. Step 3: Cross multiply
    66,354x = 101,459 × 101,459
  4. Step 4: Simplify right side
    66,354x = 10,293,928,681
  5. Step 5: Solve for x
    x = 10,293,928,681/66,354
  6. Step 6: Final answer
    x = 155,136.52

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.