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Finding the Third Proportional to 63,622 and 93,532

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Solution

The third proportional to 63,622 and 93,532 is: 137,503.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,622 : 93,532 = 93,532 : x
  2. Step 2: Convert to fraction form
    63,622/93,532 = 93,532/x
  3. Step 3: Cross multiply
    63,622x = 93,532 × 93,532
  4. Step 4: Simplify right side
    63,622x = 8,748,235,024
  5. Step 5: Solve for x
    x = 8,748,235,024/63,622
  6. Step 6: Final answer
    x = 137,503.30

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.