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Finding the Third Proportional to 63,415 and 94,915.50

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Solution

The third proportional to 63,415 and 94,915.50 is: 142,063.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,415 : 94,915.50 = 94,915.50 : x
  2. Step 2: Convert to fraction form
    63,415/94,915.50 = 94,915.50/x
  3. Step 3: Cross multiply
    63,415x = 94,915.50 × 94,915.50
  4. Step 4: Simplify right side
    63,415x = 9,008,952,140.25
  5. Step 5: Solve for x
    x = 9,008,952,140.25/63,415
  6. Step 6: Final answer
    x = 142,063.43

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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.